Question

question 9 (01.06 mc) james fenced in his backyard. the perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. use the perimeter formula p = 2l + 2w to find the length of his rectangular yard in inches: 8 in. 18 in. 72 in. 96 in.

Explanation:

Step1: Convert perimeter to inches

Since 1 foot = 12 inches, 20 feet = 20×12 = 240 inches and 2 feet = 2×12 = 24 inches.

Step2: Use perimeter formula to find length

The perimeter formula for a rectangle is $P = 2L+2W$. We know $P = 240$ inches and $W = 24$ inches. Substitute into the formula: $240=2L + 2\times24$. First, simplify the right - hand side: $240=2L+48$. Then subtract 48 from both sides: $240 - 48=2L$, so $192 = 2L$. Divide both sides by 2: $L=\frac{192}{2}=96$ inches.

Answer:

96 in.