Question

Solve by writing an inequality. The length of a picture frame is 3 in. greater than the width. The perimeter is less than 52 in. Please help me describe the dimensions of the frame.

Answer 1

Explanation:

Let the width be w in, then the length = w+3 in.

So the perimeter = 2w + 2(w + 3)

= 4w + 6

So, we have the inequality

4w + 6 < 52

4w + 6 - 6 < 52 - 6

4w < 46

w < 11.5

So the width is less than 11.5 in and the length is less than 14.5 in.