# The coordinates of the vertices of a rectangle are (-3,5), (0,-4), (3,7), and (6,-2). How do you find the area of this figure?

##### 2 Answers

#### Explanation:

In this case it is a good idea to draw a quick sketch so that you can see what you are dealing with.

We can use Pythagoras to solve this as appropriately projecting lines from any point will form a triangle. The vertical and horizontal lengths of which can be read of from the axis.

The distance between two points is

Let the distance between two points be

Distance between points A and B

Distance between points B and C

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Area

**The area of the rectangle is** **sq.unit.**

#### Explanation:

The four vertices are

Distance between two points

Side

Side

Side

Side

The area of the rectangle is

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