The length of a rectangle is 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.
Because the length is longer than the width, let the length be x + 1 yards.
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
Substitute the given values into the formula:
28 = 2(x + 1 + x)
28 = 2(2x + 1)
28 = 4x + 2
4x = 26
x = 6.5
So, the width of the rectangle is 6.5 yards and the length is 6.5 + 1 = 7.5 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 = 7.5 x 6.5
Area = 48.75 square yards
Therefore, the area of the rectangle is 48.75 square yards.