Question

A rectangular sheet of metal has a perimeter of 82 inches. Its area is 348 square inches. What are the dimensions of the sheet?

Answer 1

The area of a 2D form is the amount of space within its perimeter. The length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the sheet be represented by x and the length be represented by y.

Area = x × y

348 = xy

x = 348/y

Perimeter = 2(x+y)

82 = 2(x+y)

41 = x + y

41 = (348/y) + y

0 = y² - 41y + 348

y = 29, 12

Therefore, the length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

Learn more about the Area:

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