How to find the length of the side of a quadrilateral - ACT Math
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Find the perimeter of the rhombus above.
Find the perimeter of the rhombus above.
By definition, a rhombus is a quadrilateral with four equal sides whose angles do not all equal 90 degrees. To find the perimeter, we must find the values of x and y. In order to do so, we must set up a system of equations where we set two sides equal to each other. Any two sides can be used to create these systems.
Here is one example:
Eq. 1
Eq. 2
Now we plug 
into the first equation to find the value of 
:
Plugging these values into any of the three equations will give us the length of one side equaling 11.
Since there are four sides, 
.
By definition, a rhombus is a quadrilateral with four equal sides whose angles do not all equal 90 degrees. To find the perimeter, we must find the values of x and y. In order to do so, we must set up a system of equations where we set two sides equal to each other. Any two sides can be used to create these systems.
Here is one example:
Eq. 1
Eq. 2
Now we plug
Plugging these values into any of the three equations will give us the length of one side equaling 11.
Since there are four sides,
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Find the length of a rectangle if the area is 
, and the width is 
.
Find the length of a rectangle if the area is
Write the formula to solve the area of a rectangle.
Substitute the dimension and area to solve for the length.
Write the formula to solve the area of a rectangle.
Substitute the dimension and area to solve for the length.
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If the perimeter of a square is 
and the area is 
, what is the side length of the square?
If the perimeter of a square is
The square has 4 equal sides. Let's assume a side is 
.
Each side of the square has a length of 
.
The area of the square is:
Substitute 
into the area to solve for 
.
Since one side of the square is 
, substitute the value of 
to determine the length of the square side.
The square has 4 equal sides. Let's assume a side is
Each side of the square has a length of
The area of the square is:
Substitute
Since one side of the square is
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Find the side of a square if the area is 
.
Find the side of a square if the area is
The area of a square is:
Substitute the area and solve for the side.
The quantity inside the square root may not be factorized in attempt to eliminate the square root!
The side length of the square is:
The area of a square is:
Substitute the area and solve for the side.
The quantity inside the square root may not be factorized in attempt to eliminate the square root!
The side length of the square is:
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