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crimeas [40]
3 years ago
9

A college is creating a new rectangular parking lot. the length is 0.14 mile longer than the width and the area of the parking l

ot is 0.048 square mile. find the length and width of the parking lot.
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0

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

.048=.14w+w^2

Get everything on one side of the equals sign and set the whole equal to 0:

0=w^2+.14w-.048

Let's multiply everything by 1000 to get rid of those decimals:

0=1000w^2+140w-48

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!

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