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
1 answer:
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
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