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Draw a picture. That will help you figure out what to do.

|dw:1377832287651:dw|

thanks but how do I solve it?

okay.... i did that... then what?:)

Use the Pythagorean theorem.

|dw:1377832617688:dw|

so... (w+6)^2+w^2=174^2??????

Exactly.

Solve for w.

okay i will tryyyy

You can do it! I have faith in you!!

i was trying to solve for w but i got stuck... will someone help me and walk me through it??

Stuck where? Show your steps and I will help you?

(w+6)^2+w^2=30276..... w^2+12w+36+w^2=30276......2w^2+12w+36=30267

and now im stuck

The numbers do get big, but you can handle it, with your calculator's help.

One you get all the terms to the left side, the constant term will be negative.

I divided the whole equation by 2 to keep the numbers smaller.
\(w^2+6w-15120\)

but when you put in -15120 it is negative in the root soo it wont workkk

the answer in the back of the book is 120 by 126

so still not sure how that works when what ever i root comes out to be a decimal

wow thanks soooo mcuh!! you are AMAZZZZINNNGGG!!!!

Your Welcome!