Question

A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the distance around should be no more than 450 ft. Which system of inequalities and graph represents the possible dimensions of the backyard?

Answer 1

(A)

Explanation:

Let y be the length of the rectangular backyard and then according to the question, y should be atleast 150 ft, then the possible inequality is:

`y\geq150`

and the distance around should be no more than 450ft, then the possible inequality is:

`2x+2y\leq450`

Then, the shaded region (green) is the possible dimensions of the backyard.