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.