The length of a rectangle is five times its width. If the area of the rectangle is 180yd^2 , find its perimete yd square square

To find the perimeter of the rectangle, we first need to determine the length and width of the rectangle.Given that the length of the rectangle is five times its width, we can represent the length as 5w and the width as w.The area of the rectangle is given as 180 square yards. The formula for the area of a rectangle is length × width. So, we can set up the equation:5w × w = 180Simplifying the equation, we get:5w^2 = 180Dividing both sides by 5, we have:w^2 = 36Taking the square root of both sides, we find:w = 6Now that we have the width, we can find the length by multiplying the width by 5:Length = 5w = 5 × 6 = 30Now that we have the length and width, we can calculate the perimeter of the rectangle. The formula for the perimeter of a rectangle is 2 × (length + width). Substituting the values we found:Perimeter = 2 × (30 + 6) = 2 × 36 = 72Therefore, the perimeter of the rectangle is 72 yards.