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?

Verified Answer :

mumsy

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

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