contestada

The length of a rectangle is 7 inches less than its width. The perimeter of the
rectangle is 54 inches. Find the length and the width of the rectangle. Explain your
reasoning.

Respuesta :

aanyajanga

Answer:

8 in.

Step-by-step explanation:

Perimeter of a rectangle, P = 2(L + W)

Value of P = 46.

Length is 7 inches less than the width.  This translates to L = W - 7

Substitute L = W - 7 into the perimeter equation, you get

46 = 2(W - 7 + W)

46 = 2(2W - 7)

46 = 4W - 14

4W = 60

W = 60 / 4 = 15 in

L = W - 7 = 15 - 7 = 8 in

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