The length of a rectangle is 4 yd longer than its width. If the perimeter of the rectangle is 44 yd, find its area. [1]yd^2

## Step 1The problem provides us with the perimeter of the rectangle, which is 44 yards. The formula for the perimeter of a rectangle is given by:### where is the perimeter, is the length, and is the width of the rectangle.## Step 2We are also given that the length of the rectangle is 4 yards longer than its width. This can be represented as:### ## Step 3We can substitute the expression for from Step 2 into the perimeter formula from Step 1. This gives us:### \(44 = 2(W + 4) + 2W\)## Step 4Solving the equation from Step 3 for , we find that yards.## Step 5Substituting into the equation from Step 2, we find that yards.## Step 6The area of a rectangle is given by the formula:### Substituting the values of and we found in Step 5, we find that the area of the rectangle is square yards.