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Solnce55 [7]
3 years ago
8

Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca

n afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area
Mathematics
1 answer:
natima [27]3 years ago
5 0

1 Area is 1600 =a*b2. Perimeter is 2(a+b)=160 ==>b=80-a
So,1600=a*b=a*(80-a)==>80a-a²=1600==> a²-80a+1600=0==> (a-40)²=0==>a=40 or a=-40 (to exclude since <0)==>b=1600/40=40The rectangle is a square of 40m of side.
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