Answer:
The width is 7 ft
The length is 17 ft
Step-by-step explanation:
width = w
length = w+10
A = l*w
119 = w*(w+10)
Distribute
119 = w^2 + 10 w
Subtract 119 from each side
0 = w^2 +10w-119
Factor
0 = ( w-7) (w+17)
Using the zero product property
0 = w-7 0 = w+17
w = 7 w = -17
Since the width cannot be negative
w =7
l = w+10
l = 17
The width is 7 ft
The length is 17 ft
Answer:
Quadratic equation: x² + 10x - 119 = 0
Length: 17 feet
Width: 7 feet
Step-by-step explanation:
length: x + 10
width: x
Area = Length * Width
119 = (x + 10) * x
119 = x² + 10x
x² + 10x - 119 = 0
x² + 10x - 119 = (x + 17)(x - 7) = 0
x + 17 = 0 and x - 7 = 0
x = -17 and x = 7
Positive length and width makes more sense...
length: -17 + 10 = -7
width: -17
length: 7 + 10 = 17
width: 7
