Question

The perimeter of a rectangle is 72 centimeters. The base is 2 times the height. What are the dimensions of the rectangle

Answer 1

2(b+3b)=72
2b+6b=72
8b=72
base=9 cm. and height=27 cm.
so area = 243 sq. cm.

Answer 2

formula for perimeter of rectangle : P = 2L + 2W or in this case P = 2B + 2H

P = 72
B = 2H
now we sub

72 = 2(2H) + 2H
72 = 4H + 2H
72 = 6H
72/6 = H
12 = H

now sub 12 in for H
B = 2H
B = 2(12)
B = 24

check..
P = 2B + 2H
72 = 2(24) + 2(12)
72 = 48 + 24
72 = 72 (correct)

Height (H) = 12 cm
Base (B) = 24 cm

Area = BH
Area = 24 * 12
Area = 288 cm^2