Question

Question #4ea0f

Answer 1

The width of the field is 16 meters.

Explanation:

What we know:
Perimeter: 96m
Length: 16m more than length of width

What we want: width

Let `w` be the width in meters
Let `l` be the length in meters

So let's set up the equations:

First, a perimeter equals to `l + l + w + w`, or `2l + 2w`, or `2(l + w)`. So in this question:
`2(l + w) = 96`

We also know that the length is 16m more than the length of the width, so we make form another equation:
`l = w + 16`

Let's simplify the first equation, `2(l + w) = 96`.
`l + w = 48` (divided both sides by 2)
#l = 48 - w

So now our 2 simplified equations are:
`l = w + 16`
`l = 48 - w`

In order to find `w`, we need to substitute the value of `l` in one of the equations and put that value into the other equation. So it looks like this:
`w + 16 = 48 - w` (substitute)
`2w = 32` (Add `w` to both sides and subtract `16` from both sides)
`w = 16`

Final answer: The width of the field is 16 meters.