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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?
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
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