Question

Alice wants to fence in a rectangular play area for her rabbits. The length of the area should be at least 20 ft, and the distance around should be no more than 100 ft. Which system of inequalities and graph represent the possible dimensions of the pen?

Answer 1

The answer should be y is greater than or equal to 20. The equation should be 2x+2y is less than or equal to 100.

Explanation:

Answer 2

1) The length of the area should be at least 20 ft,

Call x the length and y the width

=>x ≥20

2) the distance around should be no more than 100 ft.

the distance around is the perimeter of the rectangle

perimeter = 2(length + width)=2length+2width

=>2x+2y≤100


System:

1) x ≥ 20
2) 2x + 2y ≤ 100