Question

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?

Answer 1

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.