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# HELP plz

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The diagnal length of a square is 40 centimeters. Find the area of the square.

Guest Mar 1, 2017
edited by Guest  Mar 1, 2017
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#1
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The side will be  40/√2 cm

So......the area   =  side^2   =  ( 40/√2)^2  =  1600/ 2  =   800 cm^2

CPhill  Mar 1, 2017
#2
+18369
+5

The diagnal length of a square is 40 centimeters.

Find the area of the square.

$$\begin{array}{rclrcl} A &=& a^2 \quad & \quad a^2+a^2 &=& 40^2 \\ &&\quad & \quad 2a^2 &=& 40^2 \\ &&\quad & \quad a^2 &=& \frac{40^2}{2} \\ &&\quad & \quad \mathbf{ a } & \mathbf{=} & \mathbf{\frac{40}{\sqrt{2}}} \\ A &=& \left(\frac{40}{\sqrt{2}}\right)^2 \\ A &=& \frac{40^2}{ 2 } \\ \mathbf{ A } & \mathbf{=} & \mathbf{800\ cm^2 } \\ \end{array}$$

heureka  Mar 1, 2017

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