Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of

fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown.

w ≥ 10

2l + 2w ≤ 150

a = 20 ft; w = 5 ft

b = 20 ft; w = 10 ft

c = 60 ft; w = 20 ft

d = 55 ft; w = 30 ft

Question

Mathematics

Violet Walters

15 March, 00:38

Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of

fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown.

w ≥ 10

2l + 2w ≤ 150

a = 20 ft; w = 5 ft

b = 20 ft; w = 10 ft

c = 60 ft; w = 20 ft

d = 55 ft; w = 30 ft

+1

Answers (1)

Know the Answer?

Figaro · Answer 1

In option a, w < 10

in option b, w = 10 and 2 (20) + 2 (10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2 (60) + 2 (20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2 (55) + 2 (30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.