Question

(01.06 mc) jason has 144 feet of material to build a fence around a rectangular garden on his property. if the width of the fence must be 9 feet, what is the length of the fence in yards if he uses all 144 feet of material?

a 126 yards
b 63 yards
c 42 yards
d 21 yards

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is the perimeter, $l$ is the length and $w$ is the width. We know $P=144$ feet and $w = 9$ feet.

Step2: Substitute values into formula

$144=2(l + 9)$. First, divide both sides of the equation by 2: $\frac{144}{2}=l + 9$, so $72=l + 9$.

Step3: Solve for length in feet

Subtract 9 from both sides: $l=72 - 9=63$ feet.

Step4: Convert length to yards

Since 1 yard = 3 feet, then the length in yards is $\frac{63}{3}=21$ yards.

Answer:

d. 21 yards