The length of a rectangle is five times its width. If the area of the rectangle is 125yd^2 find its perimeter
Let the width of the rectangle be x yards.
Since the length of the rectangle is five times its width, the length is 5x yards.
The area of a rectangle is given by the formula: Area = length x width
So, in this case, we have:
125 = 5x * x
125 = 5x^2
x^2 = 25
x = 5
Therefore, the width of the rectangle is 5 yards, and the length is 5 * 5 = 25 yards.
To find the perimeter of the rectangle, we use the formula: Perimeter = 2(length + width)
Perimeter = 2(25 + 5)
Perimeter = 2(30)
Perimeter = 60 yards
Therefore, the perimeter of the rectangle is 60 yards.