The length 19

The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm2, what are its dimensions?

Correct answer:

a =  8 cm
b =  3 cm

Step-by-step explanation:

S=24 cm2 a=x+2 b=x3  S=ab = (x+2)(x3)  (x+2)(x3)=S  (x+2)(x3)=24 x2x30=0  a=1;b=1;c=30 D=b24ac=1241(30)=121 D>0  x1,2=2ab±D=21±121 x1,2=21±11 x1,2=0.5±5.5 x1=6 x2=5  a=x1+2=6+2=8 cm

Our quadratic equation calculator calculates it.

b=x13=63=3=3 cm   Verifying Solution:   S2=a b=8 3=24 cm2



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