Question

@ phi @ Wio @mathmale @IMStuck @ShailKumar Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?



A.


14 m wide


B.


15 m wide


C.


16 m wide


D.


17 m wide

Answer 1

i think c

Answer 2

@Zale101

Answer 3

In this one you have to solve for x in order to find the new dimensions. 208 = (10 + x)(13 + x). You have to multiply this out (FOIL it) in order to find a p[olynomial to factor.

Answer 4

please show me if you can IMstuck

Answer 5

or sarah

Answer 6

The answer is C. Since Tyler wants to increase the area to 208 meters, he will have to increase the width and length. Whatever he does to the width, he has to do to the length. Therefore, if he adds 3 meters to the width, he will have to add 3 meters to the length.

(10+x)(13+x)=208
(10+3)(13+3)=208
(13)(16)=208

The answer is C because if you add 3 meters to the length and 3 meters to the width, the new measures will be 13 and 16. Therefore, if you multiply these two together, you will get 208 meters.

Answer 7

thats what i was thinking

Answer 8

ill wait for IMstuck to replie to pive medal

Answer 9

just for fareness

Answer 10

Ok when you foil out you get x^2 + 23x + 130 = 208. You have to move the 208 over to the side with all the other numbers and set the polynomial equal to zero.\[x ^{2}+23x+130-208=0\]Doing the math you get \[x ^{2}+23x-78=0\]

Answer 11

ok

Answer 12

im fallowing

Answer 13

sorry IMstuck but

Answer 14

sarah plz give IMstuck a medal

Answer 15

for fairness

Answer 16

Now you have to factor this out. I'm trying to find the factors of 78 right now. It's a tricky number so I'm going to do the quadratic formula on it. BRB. Just take a sec.

Answer 17

ok im going to submit it wish me luck

Answer 18

any objections?

Answer 19

Ok, the factors are (x - 3)(x + 3). But of course as you know, a length of something cannot be negative, so the answer is x = 3. So the length of the longer dimension is 13 + x or 13 + 3 = 16.

Answer 20

did it

Answer 21

Did you get 3?

Answer 22

100%!!! thank you!!

Answer 23

yes i did

Answer 24

Yay for 100%'s!

Answer 25

you sir have a fan

Answer 26

IMstuck

Answer 27

Actually, I am a "ma'am" not a "sir", but that's ok! Thanks!

Answer 28

oh sorry

Answer 29

i did not know

Answer 30

I wouldn't expect you to! I do not know if you are male or female by your name here either!

Answer 31

im a guy

Answer 32

Good luck with your math stuff! I'm a high school math teacher and love to see students so concerned with their success in math.

Answer 33

btw you have to say my name as tow thousand (pause for half a sec) twenty eight

Answer 34

and thank you thank you again

Answer 35

*two

Answer 36

You are so very very welcome!!!

Answer 37

i might do one more math tonight but im not sure

Answer 38

One more math what? One more problem?

Answer 39

lesson

Answer 40

ill tag you if i do ok bye for now

Answer 41

Gotcha. If you need help... : )