The length of a rectangle is 6 in longer than its width. if the perimeter of the rectangle is 36 in , find its area.

We know that perimeter is 2l + 2w, so we can calculate the perimeter.

Since we know that , we can plug it into the equation.

Simplify the equation by distributing.

Combine like terms.

Subtract 12 from both sides.

Divide both sides by 4.

Now that we have the width, we can find the length.

Now that we know the length and the width of the rectangle, we can determine the area.

The area of the rectangle is 72in².