Question

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. 1. Without calculating, predict which frame has the shorter width. Explain your reasoning. 2. Find the width that you predicted to be shorter. Show your reasoning.

Answer 1

1. Frame B

It’d be shorter since the length is longer, which takes up room from the width.

2. 15

Explanation:

2.

7.5*2=15

45-15=30

30/2=15

15 = width