Question

Would a length of 650 feet meet the requirements for the runners' corral? If so, what would the width be? Justify your response with calculations.

The question in the photo is already answered but I need the question Above answered
The photo is just to give you guys the data for the coral.

Answer 1

Let

x-----------> the length of the rectangular corral

y-----------> the width of the rectangular corral

we know that

the area of the rectangular corral is equal to

`A=x*y\\ A\geq 29,040\ ft^(2)`

so

`x*y \geq 29,040` -------> inequality A

the perimeter of the rectangular corral is equal to

`P=2x+y\\P \leq 1,364 ft`

so

`2x+y \leq 1,364` -----> inequality B

using a graphing tool --------> resolve the compound system inequalities

see the attached figure

the solution is the shaded area

so

the length of 650 feet does meet the requirements of the runners corral

and the width is 64 ft-------> see the graph

the answer is

a) the length of 650 feet does meet the requirements of the runners corral