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 can 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

Question

Mathematics

Yadira Fitzgerald

24 June, 13:42

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 can 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

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Claire Carney · Answer 1

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 b=1600/40=40The rectangle is a square of 40m of side.