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The length of a rectangle is 6 yd longer than its width. if the perimeter of the rectangle is 44 yd , find its area.

Respuesta :

williamsalee12
let's call the length L and the width w. 

perimeter = 2L + 2w
44 = 2L + 2w

the length is 6 yards longer than the width. so L = w + 6.

plug this into the equation. 44 = 2(w+6) + 2w
44 = 2w + 12 + 2w
44 = 4w + 12
32 = 4w
w = 8
L = w + 6
L = 8 + 6
L = 14

area = Lw
area = 8(14)
area = 112 yd²

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