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- YanaSidlinskiy

A rectangular parking lot has a length that is 15 yards greater than the width. The area of the parking lot is 450 square yards. Find the length and the width. Use the formula, are = length * width.

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- YanaSidlinskiy

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- YanaSidlinskiy

15 yards greater than the width = x(x+15)
Is that to what it translates to?

- johnweldon1993

Let Width = W
and Length = W + 15
|dw:1438833371504:dw|
If the area in total = 450
We have
\[\large Length \times Width = 450\]
\[\large (W+15) \times W = 450\]
Solve for 'w' and then solve for 'l'

- YanaSidlinskiy

\[w^2+15w=450\]
Would I have to move everything to the left side?

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- johnweldon1993

It would be a quadratic...so I should say so ^_^

- YanaSidlinskiy

Okie, hang on lol

- YanaSidlinskiy

I can use the quadratic equation or formula or whatever you call it, right?

- johnweldon1993

Mmhmm :)

- YanaSidlinskiy

I got 15. Is that correct?

- johnweldon1993

Indeed...which would make the Length then...

- YanaSidlinskiy

OMG I CANNOT BELIEVE I'M FINALLY UNDERSTANDING THIS HAHAH! THIS IS UNBELIEVABLE!!!
Oh, I was going to ask about that... Where would I plug it back into?

- johnweldon1993

Lol told you you were smart :P
And just re-read the first sentence of your question :)

- YanaSidlinskiy

Idk lol...

- YanaSidlinskiy

Plug it back into 15*x??? LOL HELP!:)

- johnweldon1993

"The length is 15 greater than the width"
Didnt we just solve for the width? ;P

- YanaSidlinskiy

You love me if you help me haha.

- johnweldon1993

Lol well then...looks like I love you <3 XD

- YanaSidlinskiy

Lol, haha<3 I need some sidetracking for a bit LOL. Anyways....
(15+15) *15? I can't think lol..

- johnweldon1993

Lol I do believe you are overthinking this hun
So
Width = 15
Length = 15 greater than the Width
So quite literally...Length = 15 greater than 15....15 + 15 = ?

- YanaSidlinskiy

OMG hahha. I am. I thought it was something crazy like the formula haha. I'm so stupid lol. Ok.. It's 30 lol. I knew it was something around there but fear attacked me and I lost lol.

- johnweldon1993

Lol just breathe :P
So yes we found Length = 30 and Width = 15
Just to double check...30 x 15 = 450? Indeed it does...so you are correct

- YanaSidlinskiy

I'm trying but I'm running out of oxygen haha. Anyways, yes. It does.

- johnweldon1993

"Fans you" give her room! lol you are done "my love" <3 :P

- YanaSidlinskiy

LOL haha. Ok, I have a similar one but I'll open a new question.. I'm not sure if I solved the first few steps correctly, so I may need your guidance again...

- johnweldon1993

Of course :)

- YanaSidlinskiy

Okie.

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