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The length of a rectangular picture frame is 2 inches shorter than its width. If the perimeter of
the picture frame is 52 inches, what is the length, l, and width, w, of the frame? Write and
solve an equation to model the problem. Explain the meaning of the solution.

Respuesta :

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches

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