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A rectangular plank sqrt(2) meter wide is placed symmetrically on the diagonal of a square of side 8 meters, as shown in the figure.
find the area of the plank
area of a square=64
length*sqrt(2)=area of rectangle
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help me @AriPotta
area of plank is 14 m^2
how.@driftracer305
k if you have seen something like a ratio of a 45-45-90 triangle that is 1:1: sqrt2..... have you?
@svi ?
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yes
@driftracer305
k so in the same sense.... like a small corner formed..... the hypotenuse is sqrt2.... so the remaining 2 sides are 1........... and now the length of square is 8 so if you subtract 1 u get 7.........
|dw:1405405372838:dw| \[(7\sqrt{2})*\sqrt{2} = 7*2 = 14\] that should help
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