+230 On a Cartesian coordinate plane, points $(1,2)$ and $(7, 4)$ are opposite vertices of a square. What is the area of the square?
+14915 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.
!
