The length of a rectangle is 4 yd longer than its width.
If the perimeter of the rectangle is 28,yd find its area.
Let the width of the rectangle be x yards.
Therefore, the length of the rectangle is x + 4 yards.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Substitute the length and width into the formula:
28 = 2(x + 4 + x)
28 = 2(2x + 4)
28 = 4x + 8
20 = 4x
x = 5
Therefore, the width of the rectangle is 5 yards and the length is 5 + 4 = 9 yards.
The area of a rectangle is given by the formula:
Area = length x width
Substitute the values of length and width into the formula:
Area = 9 x 5
Area = 45 square yards
Therefore, the area of the rectangle is 45 square yards.