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. what are the dimensions of the rectangle?

answer:

length=40 feet , width =40 feet

step-by-step explanation:

given : tina wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence.

to find : the dimensions of the rectangle

solution :

let x be the length and y be the width of the rectangle.

by given situations,

1) area is 1600 square feet

i.e,

2) perimeter is 160 feet

i.e,

now, we solve the equation [1] and [2] to get the value of x and y

so,   from equation [2],

substitute in [1]

either y=40 or y=-40

we neglect y=-40, so y=40

substitute in value of x,

therefore, the length is 40 feet and width is 40 feet.

c. (3,2,6) is the answer.