Question

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 186 feet. Find the width of the garden.

Answer 1

We have a rectangular garden. The length of the garden is 7 feet longer than its width.

Lets say the width of the garden is 'x' feet. So, the length of the garden must be
`(x+7)` feet.

Length
`=(x+7)` feet

Width
`=x` feet

We have been given that the perimeter of the garden is 186 feet.

Now as we know that the perimeter of the rectangle is:

`2(length+width)`

Plugging the values of length and width in the equation, we get:

Perimeter
`= 2((x+7)+x)=2(2x+7)=4x+14`

We know that perimeter of the garden is equal to 186 feet,

So,

`186=4x+14`

Solving for 'x' we get:

`4x+14=186`

`4x=186-14=172`

`x=(172)/(4) =43`

We had assumed that the width of the garden is 'x' feet and now that we have the value of 'x'. We can say that:

The width of the rectangular garden is 43 feet.