The length of a rectangle is six times its width. If the perimeter of the rectangle is 140 cm, find its area.

Answer 1

H! If the length of the rectangle is 6 times its width, we can represent this given statement in an equation. L = 6W. The equation of a perimeter is 2L + 2W where we add up lengths of all the edges of the rectangle. Then, we have 2L + 2W = 140. We state that L = 6W, so we can replace L in this equation with 6W. Then, the equation becomes 2(6W) + 2W = 140.This simplifies to 14W = 140. We can solve for W by solving 140/14, which equals 10cm. Then, W = 10cm and since L = 6W, we can see that L = 60cm. Finally, area is equivalent to length times width (A = LW) so we can say that Area = 10 * 60 = 600 cm.