Two rectangles 2

A square of area 36 cm2 is cut out to make two rectangles. A and B The area of area A to area B is 2 : 1 Find the dimensions of rectangles A and B.

Result

a =  4 cm
b =  6 cm
c =  2 cm
d =  6 cm

Solution:

S=36 cm2 S=x2  x=S=36=6 cm  S1=22+1 S=22+1 36=24 cm2 S2=12+1 S=12+1 36=12 cm2  a=S1/x=24/6=4 cmS=36 \ \text{cm}^2 \ \\ S=x^2 \ \\ \ \\ x=\sqrt{ S }=\sqrt{ 36 }=6 \ \text{cm} \ \\ \ \\ S_{1}=\dfrac{ 2 }{ 2+1 } \cdot \ S=\dfrac{ 2 }{ 2+1 } \cdot \ 36=24 \ \text{cm}^2 \ \\ S_{2}=\dfrac{ 1 }{ 2+1 } \cdot \ S=\dfrac{ 1 }{ 2+1 } \cdot \ 36=12 \ \text{cm}^2 \ \\ \ \\ a=S_{1}/x=24/6=4 \ \text{cm}
b=x=6 cmb=x=6 \ \text{cm}
c=S2/x=12/6=2 cmc=S_{2}/x=12/6=2 \ \text{cm}
d=x=6 cmd=x=6 \ \text{cm}



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