Question

find the area of a square whose vertices have the coordinates (1,5) (1, 9) (-3,5) and (-3, 9) plotted in the xy plane

Answer 1

16 square units

Explanation:

You might visualize graphing these points. Or even make a rough sketch would be less work probably than using distance formula. But any of these is to just find out the length of a side of this square.

See image.



The area of a square is length × width, which is just the side times itself,

Area = s^2

= 4^2

= 16

The area of the square is 16 units^2.