Question

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10

feet.


Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular

wall?




Answer 1

`W \le 6`

Explanation:

Given

`Area = 60ft^2\ (max)`

`Length = 10ft`

Required

Represent the width as an inequality

First, we represent the area as an inequality.

`Area = 60ft^2\ (max)`

max as used above means less than or equal to.

So, we have:

`Area \le 60`

The area of a rectangle is:

`Area = L * W`

So, we have:

`L * W \le 60`

Substitute 10 for L

`10 * W \le 60`

Divide both sides by 10

`(10 * W)/(10) \le (60)/(10)`

`W \le (60)/(10)`

`W \le 6`