Question

The length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.

Which inequality models the relationship between the width and the perimeter of the rectangle?



2w+2⋅(3w)≥112
2w+2⋅(3w)<112
2w+2⋅(3w)>112
2w+2⋅(3w)≤112

Answer 1

Let w = the width of the rectangle.

The length is three times the width, therefore the length = 3w.
Because the perimeter is at most 112 cm, therefore
2w + 2.(3w) ≤ 112

Answer: 2w + 2.(3w) ≤ 112