Answer:
The width is .16 miles and the length is .3 miles
Step-by-step explanation:
Use the area formula for a rectangle and the fact that the length = .14 + w. Your formula will look like this then:
.048 = w(.14 + w)
Distribute through the parenthesis to get
[tex].048=.14w+w^2[/tex]
Get everything on one side of the equals sign and set the whole equal to 0:
[tex]0=w^2+.14w-.048[/tex]
Let's multiply everything by 1000 to get rid of those decimals:
[tex]0=1000w^2+140w-48[/tex]
Now we need to factor that to solve for w:
w = .16 and w = -.3
Since the two things in math that will never ever be negative are distance measures and time, we can safely disregard the -.3. That means that the width is .16 and the length is ,16 + .14 which is .3. There you go!
