One side 2

One side of the rectangle is three times larger, and the other is 4 cm smaller than the side of the square. Find the area of the square if more than the area of the rectangle by 10 cm2.

Correct answer:

A =  25 cm2

Step-by-step explanation:

a=3x b=x4 S=ab+10=x x  3x(x4)+10=xx  3x (x4)+10=x x 2x212x+10=0  a=2;b=12;c=10 D=b24ac=1224210=64 D>0  x1,2=2ab±D=412±64 x1,2=412±8 x1,2=3±2 x1=5 x2=1   Factored form of the equation:  2(x5)(x1)=0  x=x1=5 cm  A=x x=5 5=25=25 cm2   Verifying Solution:  a=3 x=3 5=15 cm b=x4=54=1 cm S1=a b=15 1=15 cm2

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