Question

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? (1 point) o 126 yards o 63 yards o 42 yards o 21 yards

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Given $P=144$ feet and $w = 9$ feet. First, substitute into the formula: $144=2(l + 9)$.

Step2: Solve for length in feet

Divide both sides of the equation $144 = 2(l + 9)$ by 2: $\frac{144}{2}=l + 9$, so $72=l + 9$. Then subtract 9 from both sides: $l=72 - 9=63$ feet.

Step3: Convert length to yards

Since 1 yard = 3 feet, to convert 63 feet to yards, divide by 3. So the length in yards is $\frac{63}{3}=21$ yards.

Answer:

21 yards