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# pls help besties

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On a Cartesian coordinate plane, points $(1,2)$ and $(7, 4)$ are opposite vertices of a square. What is the area of the square?

Feb 19, 2021

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On a Cartesian coordinate plane, points $(1,2)$ and $(7, 4)$ are opposite vertices of a square. What is the area of the square?

Hello wizzymath!

$$A=(\dfrac{d}{\sqrt{2}})^2=\dfrac{d^2}{2}$$

$$d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ d^2=(7-1)^2+(4-2)^2\\ d^2=40$$

$$A=\dfrac{d^2}{2}=\dfrac{40}{2}$$

$$A=20$$

The area of the square is 20.

!

Feb 19, 2021