Question

The length of a rectangle is 2 1/2 times its width. The permiter of the rectangle is 84cm. Find the dimensions of the rectangle

Answer 1

• length: 30 cm
• width: 12 cm

Explanation:

The perimeter is twice the sum of the lengths of adjacent sides. If we let w represent the width, then 2.5w can represent the length. The perimeter (in centimeters) is ...

P = 2(L +W)

84 = 2(2.5w +w) . . . . . substitute known values

84 = 7w . . . . . . . . . . . . simplify

12 = w . . . . . . . . . . . . . .divide by 7

L = 2.5w = 2.5×12 = 30

The width is 12 cm; the length is 30 cm.