Casey has a rectanhular garden that measures 9 m wide by 3 m long. She wants to increase the area to 192 m^2 by increasing the width and length by the same amount what will be the dimesions of the new garden?

The length in your question is smaller than the width. Please make sure the question is correct.

Yes Im sorry 13 m is the length

I think I have answered this question before. Please see the answer below.

Assuming the width and length are increased by x,

Then (9+x)(13+x)=192

9*13+22x+x^2=192

x^2+22x-75=0

(x+25)(x-3)=0

So x=3

Therefore the width of the new garden is 3+9=12 m, and the length of the new garden is 3+13=16m.

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