Answer:
The length is 18 yards, the width is 8 yards.
18 yards × 8 yards
Step-by-step explanation:
let x represent the width
length=2x+2
A=lw
144=(2x+2)(x)
144=2x²+2x
2x²+2x-144=0
x²+x-72=0
(x+9)(x-8)=0
x+9=0 x-8=0
x=-9 x=8
(We will use 8 since measurements cannot be negative)
width=8 yards
length=2(8)+2
l=16+2
length=18 yards
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Answers & Comments
Answer:
The length is 18 yards, the width is 8 yards.
18 yards × 8 yards
Step-by-step explanation:
let x represent the width
length=2x+2
A=lw
144=(2x+2)(x)
144=2x²+2x
2x²+2x-144=0
x²+x-72=0
(x+9)(x-8)=0
x+9=0 x-8=0
x=-9 x=8
(We will use 8 since measurements cannot be negative)
width=8 yards
length=2(8)+2
l=16+2
length=18 yards