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A frame around a rectangular family portrait has a perimeter of 96 inches. The length of the frame is 6 inches less than
twice the width. Find the length and width of the frame.
Width of the frame is
inches
Length of the frame is
inches

Respuesta :

facundo3141592

The length is 30 inches.

How to get the length of the frame?

For a frame of length L and width W, the perimeter is:

P = 2*(L + W).

Here we know that:

P = 96 in

L = 2*W - 6in

Replacing that we get:

96in = 2*( (2*W - 6 in) + W)

Now we can solve that equation for W:

96in = 2*(3W - 6in)

96in/2 + 6in = 3W = 54in

W = (54in)/3 = 18in

The width is 18 inches, then:

L = 2*W - 6in = 2*(18 in) - 6in = 30in

The length is 30 inches.

If you want to learn more about rectangles:

https://brainly.com/question/17297081

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