SOLUTION: The permitter of a rectangular concrete slab is 72 feet and its area is 308 square feet. What is the length of the longer side of the slab? 23 ft 25 ft 22 ft 24 ft

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Question 1001866: The permitter of a rectangular concrete slab is 72 feet and its area is 308 square feet. What is the length of the longer side of the slab?
23 ft
25 ft
22 ft
24 ft

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
The permitter of a rectangular concrete slab is 72 feet and its area is 308 square feet. What is the length of the longer side of the slab?
let x=length
let y=width
2x+2y=perimeter=72
xy=308=area=308
y=308/x
2x+2(308/x=72
lcd:x
2x^2+616=72x
2x^2-72x+616
x^2-36x+308=0
(x-22)(x-14)
x=14 or 22
What is the length of the longer side of the slab? 22 ft

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