Question

What is the area of this figure?

a big 3d shape is shown
divided into 3 different shapes with the following measurements
Shape 1 rectangle
The top is 9 in
The first left side is 2 in
The 1st bottom is 3 in
The 2nd Shape big square
2nd Left side is 4 in
2nd bottom is 4 in
The 3rd Shape rectangle
3rd left side is 3 in
bottom is 2 in
Every Shape
the right side is 9 in

find the area of those 3 shapes then add them up and put the answer in square inches

Answer 1

The answer was 48

Answer 2

To find the area of the three shapes, we need to calculate the area of each individual shape and then add those areas together.

### Shape 1: Rectangle
- Dimensions: Width = 9 in, Height = 2 in
- Area = Width × Height = 9 in × 2 in = **18 square inches**

### Shape 2: Square
- Dimensions: Side = 4 in
- Area = Side × Side = 4 in × 4 in = **16 square inches**

### Shape 3: Rectangle
- Dimensions: Width = 3 in, Height = 2 in
- Area = Width × Height = 3 in × 2 in = **6 square inches**

### Total Area
Now we add up the areas of all three shapes:
\[
\text{Total Area} = \text{Area of Shape 1} + \text{Area of Shape 2} + \text{Area of Shape 3}
\]
\[
\text{Total Area} = 18 \, \text{sq in} + 16 \, \text{sq in} + 6 \, \text{sq in}
\]
\[
\text{Total Area} = 40 \, \text{square inches}
\]

Thus, the total area of the figure is **40 square inches**.