Question

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Solve the problem by writing an inequality.

If the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the height h of the frame be?

Answer 1

If the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the height h of the frame be?

Answer 2

The height must be less than 64in.

Explanation:

The formula for the perimeter of a rectangle is:

P=2*W+2*H

Where

P : Perimeter

W: Width

H: Length

So the for a perimeter less the 180in.

180>2*26+2*H

180>52+2H

180-52>2H

128>2H

H<64

So the height must be less than 64in.