How to find the length of the side of a rhombus - ACT Math
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If the diagonals of a rhombus were 
and 
, what is the side length of the rhombus?
If the diagonals of a rhombus were
Write the formula used to find the rhombus side length given 2 diagonals.
Substitute both diagonals in the equation and simplify.
Write the formula used to find the rhombus side length given 2 diagonals.
Substitute both diagonals in the equation and simplify.
Compare your answer with the correct one above
A rhombus has a perimeter of 
inches. Find the length for one side of the rhombus.
A rhombus has a perimeter of
To solve this problem, apply the perimeter formula for a rhombus: 
.
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have 
equivalent sides. The total perimeter is the sum of all 
sides.
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
, where 
is equal to one of the four sides.
is equal to 
inches. Since 
inch is equal to 
foot, the final answer is:
inches is equal to 
foot, which can be reduced to 
foot
To solve this problem, apply the perimeter formula for a rhombus:
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Compare your answer with the correct one above
A rhombus has two perpendicular interior diagonal lines. The diagonals have lengths of 
and 
. Find the length for side 
.
A rhombus has two perpendicular interior diagonal lines. The diagonals have lengths of
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where 
the length of one side, and both 
and 
each represent one of the perpendicular diagonal lines.
The solution is:
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where
The solution is:
Compare your answer with the correct one above
A rhombus has a perimeter of 
. Find the length for one side of the rhombus.
A rhombus has a perimeter of
To solve this problem, apply the perimeter formula for a rhombus: .
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
Each side of the rhombus must equal 
.
To solve this problem, apply the perimeter formula for a rhombus:
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
Each side of the rhombus must equal
Compare your answer with the correct one above
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of 
and 
. Find the length for one side of the rhombus.
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where the length of one side, and both and each represent one of the perpendicular diagonal lines.
The solution is:
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where
The solution is:
Compare your answer with the correct one above
Using the rhombus shown above, find the length of side 
.
Using the rhombus shown above, find the length of side
To solve this problem, apply the perimeter formula for a rhombus: .
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
To solve this problem, apply the perimeter formula for a rhombus:
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
Compare your answer with the correct one above
A rhombus has a perimeter of 
. Find the length for one side of the rhombus.
A rhombus has a perimeter of
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. Thus, the total perimeter is the sum of all sides.
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
To solve this problem, apply the perimeter formula for a rhombus: .
By applying the perimeter formula, the solution is:
Check:
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
To solve this problem, apply the perimeter formula for a rhombus:
By applying the perimeter formula, the solution is:
Check:
Compare your answer with the correct one above
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of 
and 
. Find the length for one side of the rhombus.
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where the length of one side, and both and each represent one of the perpendicular diagonal lines.
The solution is:
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where
The solution is:
Compare your answer with the correct one above
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of 
and 
. Find the length for one side of the rhombus.
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where the length of one side, and both and each represent one of the perpendicular diagonal lines.
The solution is:
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where
The solution is:
Compare your answer with the correct one above
A rhombus has a perimeter of 
. Find the length for one side of the rhombus.
A rhombus has a perimeter of
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. Thus, the total perimeter is the sum of all sides.
To solve this problem, apply the perimeter formula for a rhombus: .
By applying the perimeter formula, the solution is:
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
To solve this problem, apply the perimeter formula for a rhombus:
By applying the perimeter formula, the solution is:
Compare your answer with the correct one above
Using the rhombus shown above, find the length of side 
.
Using the rhombus shown above, find the length of side
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. Thus, the total perimeter is the sum of all sides.
To solve this problem, apply the perimeter formula for a rhombus: .
By applying the perimeter formula, the solution is:
Check:
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
To solve this problem, apply the perimeter formula for a rhombus:
By applying the perimeter formula, the solution is:
Check:
Compare your answer with the correct one above
The perimeter of a rhombus is equal to 
. Find the length for one side of the rhombus.
The perimeter of a rhombus is equal to
To solve this problem, apply the perimeter formula for a rhombus: .
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have equivalent sides. The total perimeter is the sum of all sides.
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
To solve this problem, apply the perimeter formula for a rhombus:
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
Compare your answer with the correct one above
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of 
and 
. Find the length for one side of the rhombus.
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where the length of one side, and both and each represent one of the perpendicular diagonal lines.
The solution is:
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where
The solution is:
Compare your answer with the correct one above