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
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.
