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.

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 feet.

Length feet

Width 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:

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

Perimeter

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

So,

Solving for 'x' we get:

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.