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
30 yards
44 yards
22 yards

Explanation:

Step1: Recall the perimeter formula for rectangle

The perimeter $P$ of a rectangle is $P = 2(l + w)$. Here, the perimeter of the fence (amount of material) $P=72$ feet and width $w = 3$ feet. We first find the length $l$ in feet.
\[72=2(l + 3)\]

Step2: Solve the equation for $l$ in feet

Divide both sides of the equation by 2: $\frac{72}{2}=l + 3$, so $36=l + 3$. Then subtract 3 from both sides: $l=36 - 3=33$ feet.

Step3: Convert feet to yards

Since 1 yard = 3 feet, to convert 33 feet to yards, we divide by 3. So the length in yards is $\frac{33}{3}=11$ yards.

Answer:

11 yards