The length of a rectangle is eight more than twice it's width, the perimeter is 96 feet. what are the dimensions of the rectangl

Question

mina [271]

3 years ago

5

The length of a rectangle is eight more than twice it's width, the perimeter is 96 feet. what are the dimensions of the rectangl

e?

Mathematics

1 answer:

Vlad1618 [11] · Answer 1 · 2022-05-27T08:25:08+03:00

Vlad1618 [11]3 years ago

8 0

P = 2(L + W)
P = 96
L = 2W + 8

96 = 2(2W + 8 + W)
96 = 2(3W + 8)
96 = 6W + 16
96 - 16 = 6W
80 = 6W
80/6 = W
40/3....or 13 1/3 ft <== width

L = 2W + 8
L = 2(40/3) + 8
L = 80/3 + 8
L = 80/3 + 24/3
L = 104/3 or 34 2/3 <== length