A rectangular sandbox is surrounded on all sides by a strip of grass that is 5 ft wide on all sides. The length of the sandbox is 4 ft more then width, and the total area for the sandbox and the grass is 189 square feet. Find the dimensions of the sandbox.

Dimensions:

Length = 13.256m

width = 9.256m

Step-by-step explanation:

Let the length of the sandbox be = l and its width be = w

The length of the sandbox is 4 ft more than the width.

This means that   ----- equation 1

For the next step, we will be assuming that the strip of grass is a perfect rectangle. The length of the grass strip will be equals to the length of the sandbox.

Area of the grass =  length X width = ------ equation 2

The total area for the sandbox and the grass is 189 square feet.

This means that

(Kindly note that the positive value for the width was chosen as length cannot be negative).

Now that we have our width, we can put this into equation 1 to get the length.

step-by-step explanation:

compare