The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.

Question

Mathematics

Boomhauer

14 June, 01:28

The perimeter of a rectangle is 36 inches, and the area is 65 square inches. find the length and width of the rectangle.

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Answers (1)

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Joselyn Rodgers · Answer 1

With a perimeter of 36, and a known width of 5, that means the length is 13. This makes the area 65.

Perimeter = (2 x Length) + (2 x Width) Width = [Perimeter - (2 x Length) ]/2 = [36 - (2 x 13) ]/2 = (36 - 26) / 2 = 10/2 = 5 inches

Area = Length x Width = 13 x 5 = 65 square inches