Widescreen monitor

Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of ​​the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio.

Is buying widescreen monitors with same diagonal more advantageous than buying 4:3 monitor?

Correct result:

S1 =  1238.707 cm2
S2 =  1102.707 cm2

Solution:

1 inch2=(2.54 cm)2=6.4516 cm2 k1=2.542=6.4516 u=20 inch b1=u/(4/3)2+1=20/(4/3)2+1=12 a1=4/3 b1=4/3 12=16 S1=a1 b1 k1=16 12 6.4516=1238.707 cm21 \ inch^2=(2.54 \ cm)^2=6.4516 \ cm^2 \ \\ k_{1}=2.54^{ 2 }=6.4516 \ \\ u=20 \ \text{inch} \ \\ b_{1}=u / \sqrt{ (4/3)^{ 2 }+1 }=20 / \sqrt{ (4/3)^{ 2 }+1 }=12 \ \\ a_{1}=4/3 \cdot \ b_{1}=4/3 \cdot \ 12=16 \ \\ S_{1}=a_{1} \cdot \ b_{1} \cdot \ k_{1}=16 \cdot \ 12 \cdot \ 6.4516=1238.707 \ \text{cm}^2



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