Question

Craig has 72 feet of material to build a fence around a rectangular flower bed on his property. If the width of the fence must be 3 feet, what is the length of the fence in yards if he uses all 72 feet of material?

11 yards
33 yards
66 yards
22 yards

Answer 1

To find the length of the fence, first, we need to calculate the perimeter of the rectangle.

Let's assume the length of the fence is L. Given that the width is 3 feet, the perimeter of the rectangle can be calculated as follows:

Perimeter = 2L + 2W

Substitute the given values:

72 = 2L + 2(3)
72 = 2L + 6

Subtract 6 from both sides:

66 = 2L

Divide by 2:

L = 33 feet

Since 1 yard is equal to 3 feet, we need to convert feet to yards:

33 feet / 3 feet/yard = 11 yards

So, the length of the fence in yards, if Craig uses all 72 feet of material, is 11 yards. The correct answer is:

11 yards