IXL | Solve problems involving the area and perimeter of rectangles

Garrett is building a rectangular deck behind his house. The deck has a perimeter of 36 meters and a length of 11 meters. What is the area of the deck?

square meters

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Learn with an example

question

Darnel is tiling the top of a small table to use as a plant stand. The rectangular tabletop of the plant stand has an area of 108 square inches and a length of 9 inches. What is the perimeter of the tabletop?

inches

key idea

Perimeter is the distance around a shape. You can use this formula to find the perimeter of a rectangle:

(

)

(

)

Area is the number of unit squares it takes to cover a shape. You can use this formula to find the area of a rectangle:

In these formulas, is the length of the rectangle, and

is the width.

solution

The tabletop is shaped like a rectangle. It has an area of 108 square inches and a length of 9 inches. Its width is unknown.

To find the perimeter of the tabletop, first find its width. Divide the area by the length.

108

The tabletop is 12 inches wide.

Now, use the length and width of the tabletop to find its perimeter.

(

)

(

)

The perimeter of the tabletop is 42

inches.

$Confetti$

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II.9Relationship between area and perimeter

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