Question

The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle?

2w+2⋅(5w)>96
2w+2⋅(5w)<96
2w+2⋅(5w)≤96
2w+2⋅(5w)≥96

Answer 1

2w+2⋅(5w)≤96

Explanation:

Answer 2

Let

L--------> the length of the rectangle

W-------> the width of the rectangle

we know that

the perimeter of the rectangle is equal to

`P=2L+2W`

`P\leq 96\ cm`

so

`(2L+2W)\leq 96` ---------> equation
`1`

`L=5W` ---------> equation
`2`

Substitute equation
`2` in equation
`1`

`2*(5W)+2W\leq 96`

therefore

the answer is the option

2w+2⋅(5w)≤96