Question

What is the area of the shape that is formed by the following points: (-2,5),(-2,1) and (4,5)

Answer 1

To solve this problem we need to draw the figure using the given coordinates.

As you can observe in the drawing, the points form a right triangle, so its area is defined by

$A=\frac{1}{2}bh$

Where b is the base length and h is the height length, which is 4 and 6 respectively. So, using this information, we solve

$A=\frac{1}{2}(4)(6)=\frac{1}{2}24=12$

Therefore, the area of the shape formed is 12 square units.