Plane Geometry
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SSAT Elementary Level Quantitative › Plane Geometry
Find the area of the rectangle shown below:

Explanation
The formula for area of a rectangle is length times width. The length of this rectangle is and the width is
.
.
Because multiplication does not change when the order is changed, you could set the length as and the width as
. The answer is the same either way.
What is the area of the rectangle?

Explanation
The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve.
*Area is the number of square units inside a shape, which is why area is always written with square units.
What is the length of a rectangular room with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is by
Explanation
The fence is going around the garden, so this is a perimeter problem.
What is the length of a rectangular room with a perimeter of and a width of
Explanation
We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.
Subtract from both sides
Divide by both sides
Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is by
Explanation
The fence is going around the garden, so this is a perimeter problem.
What is the area of the rectangle?

Explanation
The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve.
*Area is the number of square units inside a shape, which is why area is always written with square units.
Annie has a piece of wallpaper that is by
. How much of a wall can be covered by this piece of wallpaper?
Explanation
This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula
Find the area of the rectangle shown below:

Explanation
The formula for area of a rectangle is length times width. The length of this rectangle is and the width is
.
.
Because multiplication does not change when the order is changed, you could set the length as and the width as
. The answer is the same either way.
What is the area of the rectangle?

Explanation
We can find the area by counting the squares within the rectangle. There are squares.
We can also multiply the length and the width to find the area.
*Area is the number of square units inside a shape, which is why area is always written with square units.