SOLUTION:
A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle.
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Question 702297:
A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
Perimeter=2l+2w
24=2l+2w
2l=24-2w
l=12-w
Area=lw
32=(12-w)w
32=12w-w^2
w^2-12w+32=0
(w-4)(w-8)=0
w-4=0
w=4 ans. l=12-4=8 ans.
w-8=0
w=9 and. l=12-8=4 ans.
Proof:
24=2*8+2*4
24=16+8
24=24
32=8*4
32=32
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