Question

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 to find the length of his rectangular yard in inches: P = 2L + 2W.
A.8 in.
B.18 in.
C.72 in.
D.96 in.

Answer 1

Answer:

D. 96 inches

Step-by-step explanation:

Perimeter (P) = 2L + 2W , Where L is the length and W is the width.

20 ft = 2L + 2(2 ft)

2L = 20 ft - 4 ft = 16 ft

L = $\frac{16}{2}$ ft = 8 ft

1 ft = 12 inches

8 ft = ?

Cross-multiplying this gives; $\frac{8}{1}$ × 12 = 96 inches

Answer 2

Answer: D) 96 inches.

Step-by-step explanation: To calculate the lenght of James' rectangular yard, we need to isolate L from the given formula:

P=2L+2W

P-2W=2L

$L=\frac{P-2W}{2}$

Now we replace the given values of P and W in the equation:

$L=\frac{20feet-2*2feet}{2}$

$L=\frac{20feet-4feet}{2}$

$L=\frac{16feet}{2}$

$L=8feet$

1feet=12inches so:

L=8feet*12inches/1feet

L=96 inches.