The length

The length of a rectangle is 6 meters less than twice the width. If the area of the rectangle is 216 meters, find the dimensions of the rectangle.

Correct result:

a =  18 m
b =  12 m

Solution:

a=2b−6 S=ab=216  a(a+6)/2=216  0.5a2+3a−216=0  p=0.5;q=3;r=−216 D=q2−4pr=32−4⋅0.5⋅(−216)=441 D>0  a1,2=−q±D2p=−3±4411=−3±211 a1,2=−3±21 a1=18 a2=−24   Factored form of the equation:  0.5(a−18)(a+24)=0  a=a1=18=18 m

Our quadratic equation calculator calculates it.

b=(a+6)/2=(18+6)/2=12 m

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