A rectangular patio

A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.

Correct answer:

c =  30 ft
d =  40 ft

Step-by-step explanation:

a=20 ft b=30 ft  (a+x)(b+x)=2ab  (20+x) (30+x)=2 20 30 x2+50x600=0  a=1;b=50;c=600 D=b24ac=50241(600)=4900 D>0  x1,2=b±D2a=50±49002 x1,2=50±702 x1,2=25±35 x1=10 x2=60   Factored form of the equation:  (x10)(x+60)=0  c=a+x1=20+10=30 ft

Our quadratic equation calculator calculates it.

d=b+x1=30+10=40 ft

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