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: To calculate the lenght of James' rectangular yard, we need to isolate L from the given formula:

P=2L+2W

P-2W=2L

`L=(P-2W)/(2)`

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

`L=(20feet-2*2feet)/(2)`

`L=(20feet-4feet)/(2)`

`L=(16feet)/(2)`

`L=8feet`

1feet=12inches so:

L=8feet*12inches/1feet

L=96 inches.

Answer 2

D. 96 inches

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 =
`(16)/(2)` ft = 8 ft

1 ft = 12 inches

8 ft = ?

Cross-multiplying this gives;
`(8)/(1)` × 12 = 96 inches