The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 28yd find its area
Let's denote the width of the rectangle as x yards.
Since the length is 4 yards longer than the width, we can write the length as x + 4 yards.
The perimeter of the rectangle is the sum of all four sides:
Perimeter = 2(length) + 2(width)
28 = 2(x + 4) + 2(x)
28 = 2x + 8 + 2x
28 = 4x + 8
20 = 4x
x = 5
So, the width of the rectangle is 5 yards and the length is 5 + 4 = 9 yards.
The area of a rectangle is found by multiplying the length by the width:
Area = length x width
Area = 9 x 5
Area = 45 square yards
Therefore, the area of the rectangle is 45 square yards.