Question

A rectangular picture frame has length three inches longer than twice it’s width. The perimeter is 36 inches. Find the width of the frame.

a.) 5in
b.) 7in
c.) 10in
d.) 11in

Answer 1

A. 5 in

Explanation:

Let w represent the width of the frame.

If the length is 3 inches longer than twice the width, it can be represented by 2w + 3.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and 2w + 3 as l, and solve for w:

p = 2l + 2w

36 = 2(2w + 3) + 2w

36 = 4w + 6 + 2w

36 = 6w + 6

30 = 6w

5 = w

So, the width of the frame is 5 inches.

The correct answer is A. 5 in