The length of a rectangle is 8 cm more than 3 times its width. The perimeter of the rectangle is 64 cm. What is the area of the rectangle? Show your work.

Answer 1

Hello, Jaden,

Converting the words into equations we get length (L) equals 3 times the width (W) plus 8. We know the perimeter (64cm) is the sum of twice it's length plus twice it's width. Substitute the first equation into the second to replace L, and then solve for W. Since W is 6cm, L becomes 3*6 + 8 = 26 cm. Add the sides and multiply by 2 to get the perimeter of 64cm.

Bob