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=x x  3x (x4)+10=x x 2x212x+10=0 2 ...  prime number 12=223 10=25 GCD(2,12,10)=2  x26x+5=0  a=1;b=6;c=5 D=b24ac=62415=16 D>0  x1,2=2ab±D=26±16 x1,2=26±4 x1,2=3±2 x1=5 x2=1  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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