Please show all steps Suppose that a homeowner wants to crea

Please show all steps.

Suppose that a homeowner wants to create a rectangular enclosure for her pet cassowary in her backyard using her house as one side of the enclosure and fencing on the other three sides. If she has a total of 1,700 feet of fencing that can be used, what is the maximum area that can be enclosed?

Solution

maximum area can be get if that is the square one

so let x be the length of one side, and she will able to fencing 3sides

so, x+2x=1700

that is x=566.67

hence the total area is 566.67²=321111.1 sqare feet