SOLUTION: Find the length and width of a rectangle whose perimeter is 24 feet and whose area is 35 square feet.

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Question 844067: Find the length and width of a rectangle whose perimeter is 24 feet and whose area is 35 square feet.
Answer by nanakwame(5)   (Show Source): You can put this solution on YOUR website!
let the length=l
let the width=w
perimeter of a rectangle=2l 2w
area of a rectangle =l¡Áw
2l 2l=24~(1)
l¡Áw=35~(2)
w=35/l~(3)
put equation (3) into equation (1)
2l 2(35/l)=24
2l 70/l=24
2l^2 70=24l
l^2-12l 35=0
l=5,7
when l=7,w=5

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