Geometry - 7th Grade Math
Card 0 of 4
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the 
to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by 
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
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The figure represents a set of supplementary angles, solve for 
.
The figure represents a set of supplementary angles, solve for
Supplementary angles are defined as two angles that when added together equal 
From the question, we know that the two angles are supplementary, and thus equal 
, so we can set up the following equation:
Next we can solve for 
:
Supplementary angles are defined as two angles that when added together equal
From the question, we know that the two angles are supplementary, and thus equal
Next we can solve for
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What is the area of the circle provided?
What is the area of the circle provided?
In order to solve this problem, we need to recall the formula for the area of a circle:
The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:
Now that we have the radius we can use the formula to solve:
Solve:
In order to solve this problem, we need to recall the formula for the area of a circle:
The circle in this question provides us with the diameter, so we first have to solve for the radius. Remember, the radius is half the diameter:
Now that we have the radius we can use the formula to solve:
Solve:
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What is the area of the triangle pictured above?
What is the area of the triangle pictured above?
The area of a triangle is calculated using the formula 
. Importantly, the height is a perpendicular line between the base and the opposite point. In a right triangle like this one, you're in luck: the triangle as drawn already has that perpendicular line as one of the two sides. So here we will calculate 
. That gives us an answer of 24.
The area of a triangle is calculated using the formula 
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