Question

The length of a rectangle is 5cm more than it's width and the area is 55cm. find the length and perimeter of the rectangle

Answer 1

Answer:

L=10.326cm

P=31.30cm

Step-by-step explanation:

A=55=L*W

L=5+W

A = (5+W)(W) = 55

55=W^2 + 5W

0 = W^2 + 5W - 55

use quadratic formula

W = [-5 (+/-) sqrt(25-4(-55))]/2

W= 5.326 cm or W=-20.65, so W=5.326cm

L=5+5.326

=10.326cm

P=2W+2L

P=2(5.326) + 2(10.326)

=31.30 centimeters