Question

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answer 1

So 16=2l+2w reverse distributive property which is ab+ac=a(b+c) so 16=2l+2w 16=2(l+w) divide both sides by 2 8=l+w you should put the values given, but they should add up to 8, and cannot be negative so l+w=8

Answer 2

If the perimeter is 16, 
the possible length and width can be:
L=7,,W=1
L=6, W=2
L=5,W=3
IF L=4, AND W=4 WE HAVE A SQUARE