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## YanaSidlinskiy one year ago 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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1. YanaSidlinskiy

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

2. 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'

3. YanaSidlinskiy

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

4. johnweldon1993

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

5. YanaSidlinskiy

Okie, hang on lol

6. YanaSidlinskiy

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

7. johnweldon1993

Mmhmm :)

8. YanaSidlinskiy

I got 15. Is that correct?

9. johnweldon1993

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

10. 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?

11. johnweldon1993

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

12. YanaSidlinskiy

Idk lol...

13. YanaSidlinskiy

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

14. johnweldon1993

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

15. YanaSidlinskiy

You love me if you help me haha.

16. johnweldon1993

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

17. YanaSidlinskiy

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

18. 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 = ?

19. 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.

20. 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

21. YanaSidlinskiy

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

22. johnweldon1993

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

23. 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...

24. johnweldon1993

Of course :)

25. YanaSidlinskiy

Okie.

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