Question
Find total area length 9 cm, height 3 cm, left Triangle base 2 cm,right Triangle base 2 cm
30 square cm
39 square cm
33 square cm
27 square cm
30 square cm
39 square cm
33 square cm
27 square cm
Answers
GPT-4o mini
To find the total area of the shape described, we need to clarify what is given.
We have:
- A total length of the shape = 9 cm
- Height = 3 cm
- Left triangle base = 2 cm
- Right triangle base = 2 cm
### Step 1: Calculate the area of the triangles.
Since there are two triangles, we calculate the area for each triangle.
**Area of a triangle** = \( \frac{1}{2} \times \text{base} \times \text{height} \)
For each triangle:
- **Base** = 2 cm
- **Height** = 3 cm
\[
\text{Area of one triangle} = \frac{1}{2} \times 2 \text{ cm} \times 3 \text{ cm} = 3 \text{ square cm}
\]
Since there are two triangles:
\[
\text{Total area of triangles} = 2 \times 3 \text{ square cm} = 6 \text{ square cm}
\]
### Step 2: Calculate the area of the rectangle.
To find the width of the rectangle that may lie between the triangles, we subtract the bases of the two triangles:
- Total base of triangles = 2 cm + 2 cm = 4 cm
Therefore, the width of the rectangle is:
\[
\text{Width of rectangle} = \text{Total length} - \text{Total base of triangles} = 9 \text{ cm} - 4 \text{ cm} = 5 \text{ cm}
\]
Now we can calculate the area of the rectangle:
\[
\text{Area of rectangle} = \text{width} \times \text{height} = 5 \text{ cm} \times 3 \text{ cm} = 15 \text{ square cm}
\]
### Step 3: Calculate the total area.
Now, we can add the area of the triangles to the area of the rectangle to find the total area:
\[
\text{Total area} = \text{Area of triangles} + \text{Area of rectangle} = 6 \text{ square cm} + 15 \text{ square cm} = 21 \text{ square cm}
\]
Since none of the options (30 square cm, 39 square cm, 33 square cm, 27 square cm) match our calculated total area of 21 square cm, please check the conditions or inputs provided, or clarify the shape to ensure accurate calculations.
We have:
- A total length of the shape = 9 cm
- Height = 3 cm
- Left triangle base = 2 cm
- Right triangle base = 2 cm
### Step 1: Calculate the area of the triangles.
Since there are two triangles, we calculate the area for each triangle.
**Area of a triangle** = \( \frac{1}{2} \times \text{base} \times \text{height} \)
For each triangle:
- **Base** = 2 cm
- **Height** = 3 cm
\[
\text{Area of one triangle} = \frac{1}{2} \times 2 \text{ cm} \times 3 \text{ cm} = 3 \text{ square cm}
\]
Since there are two triangles:
\[
\text{Total area of triangles} = 2 \times 3 \text{ square cm} = 6 \text{ square cm}
\]
### Step 2: Calculate the area of the rectangle.
To find the width of the rectangle that may lie between the triangles, we subtract the bases of the two triangles:
- Total base of triangles = 2 cm + 2 cm = 4 cm
Therefore, the width of the rectangle is:
\[
\text{Width of rectangle} = \text{Total length} - \text{Total base of triangles} = 9 \text{ cm} - 4 \text{ cm} = 5 \text{ cm}
\]
Now we can calculate the area of the rectangle:
\[
\text{Area of rectangle} = \text{width} \times \text{height} = 5 \text{ cm} \times 3 \text{ cm} = 15 \text{ square cm}
\]
### Step 3: Calculate the total area.
Now, we can add the area of the triangles to the area of the rectangle to find the total area:
\[
\text{Total area} = \text{Area of triangles} + \text{Area of rectangle} = 6 \text{ square cm} + 15 \text{ square cm} = 21 \text{ square cm}
\]
Since none of the options (30 square cm, 39 square cm, 33 square cm, 27 square cm) match our calculated total area of 21 square cm, please check the conditions or inputs provided, or clarify the shape to ensure accurate calculations.