Question

A rectangle has a perimeter of 16p centimeters. It has a width of 2p centimeters. Find the length of the rectangle in terms of p

Answer 1

In a rectangle, we know that opposite sides are congruent (the same size). So, if you add the width of one side and the width of the other, you get 4. Then, you would subtract 4 from 16, which is 12. Next, divide 12 by 2 to get 6, the other 2 congruent sides of a rectangle. As a result, the length of the rectangle is 6 centimeters.

Work: w = width. width = 2
16 - 2(w) = l
2

16 - 2(2) = l
2

16 - 4 = 1
2

12 = l
2

6 = l

Answer 2

If the width is 2p then the width of both sides is 4p. Subtract that from the total perimeter and you get 16p-4p= 12p. Divide that by two because there are 2 side lengths. So, one side length is 6p.