Question

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width of the picture frame, and let l represent the length. Which system of equations can be used to find the dimensions of the picture frame?

Answer 1

A

Explanation:

Yes

Answer 2

L = 2 + .5W
2L + 2W = 40

SOLVING (if needed)
Substitute 2 + .5w in for l in the second equation and solve for w.
2(2 + .5w) + 2w = 40
4 + w + 2w = 40
Combine like terms and subtract 4 from both sides
3w = 36
Divide both sides by 3
w = 12 in.
l = 2 + .5w
l = 2 + .5(12)
l = 8 in.