Adina has a rectangular garden that measures 9 m wide by 13 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 width (shorter dimension) of the new garden?

Question 4 options:

A14 m wide

B13 m wide

C12 m wide

D11 m wide

area=legnth times width
192=(9+x)(13+x)
solve
expand
192=117+22x+x^2
minus 192 both sides
0=x^2+22x-75
factor
0=(x-3)(x+25)
set to zero

x-3=0
x=3

x+25=0
x=-25
not possible since that gives negative legnths and widhs

increased by 3

shorter is 9
9+3=12

C is ansre

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Adina has a rectangular garden that measures 9 m wide by 13 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 width (shorter dimension) of the new garden?Question 4 options: A14 m wideB13 m wideC12 m wideD11 m wide

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Related Questions

Adina has a rectangular garden that measures 9 m wide by 13 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 width (shorter dimension) of the new garden?

Question 4 options:

A14 m wide

B13 m wide

C12 m wide

D11 m wide