Question

Find the area of the following shape. You must show all work to receive credit.

Answer 1

By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.

How to simplify the shape.

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

• A triangle of height H and base B has an area = B*H/2
• A rectangle of length L and width W has an area = L*W.

Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A =  16 - 6 - 2

A = 8

So the given shape has an area of 8 square units.

If you want to learn more about areas, you can read:

brainly.com/question/14137384