Question

Find the area of the rectangle formed by the points L (0,0), O(2,1), V(4, -3) and E(2, -4).

Answer 1

Hey there!

$\large\boxed{Area = 40\:units^2}$

I attached an image to make this a lot easier to understand.

I split up the rectangle into four triangles and one rectangle. We are going to find the area of each one individually then add them together.

Also note that there are two pairs of congruent triangles so they will have the same area.

The top and bottom triangles have heights of 2 and lengths of 5. This means their areas are each 5.

The left and right triangles have heights of 6 and lengths of 3. This means their areas are each 9.

The rectangle has a height of 6 and a length of 2. This means its area is 12.

Now we can add together all the areas of the individual pieces.

5 + 5 + 9 + 9 + 12 = 40

So the area is 40 square units.

Hope this helps!