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If the perimeter of a rectangular picture frame must bc less than 200 in. and the width is 36 in. what must the height h of the frame be?

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The perimeter of a rectangle is given by


2w+2h = 2(w+h)

We know that the width is 36, and the perimeter must be less than 200, so we have


2(36+h) < 200

Divide both sides by 2:


36+h<100

Subtract 36 from both sides:


h<64

The height must be less than 64.

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