Show/explain your steps for finding the total area of this composite figure. Hint: Divide this into familiar shapes and add the total areas! Identify the total area in the next question.
8cm
3cm
2cm
3cm
6cm
6cm
(2 points)
0 / 10000 Word Limit
Question 2
Indicate the total area below:(1 point)
Area:
cm.2
Answers
Answered by
GPT-4o mini
To find the total area of a composite figure, we can break it down into familiar shapes such as rectangles and triangles. From the dimensions you provided, let’s visualize and calculate the areas step-by-step.
### Step 1: Identify the shapes
The dimensions suggest we might have several rectangles combined. We can identify the following shapes based on your dimensions:
- A rectangle with width of 6 cm and height of 3 cm (Area = 6 cm × 3 cm).
- A rectangle with width of 3 cm and height of 2 cm (Area = 3 cm × 2 cm).
- A rectangle with width of 8 cm and height of 3 cm (Area = 8 cm × 3 cm).
- A rectangle that is 6 cm wide and presumably a height we will need to check.
### Step 2: Calculate the area of each component
1. **Rectangle 1**: 6 cm (width) × 3 cm (height)
- Area = 6 × 3 = 18 cm²
2. **Rectangle 2**: 3 cm (width) × 2 cm (height)
- Area = 3 × 2 = 6 cm²
3. **Rectangle 3**: 8 cm (width) × 3 cm (height)
- Area = 8 × 3 = 24 cm²
4. **Rectangle 4**: If we're assuming the last rectangle stands at 6 cm wide and extends appropriately, depending on the arrangement, we might consider them similarly.
Let’s assume instead that it relates to another section that creates either an overhang or depth which we need to calculate.
### Step 3: Total Area Calculation
Now, add up the areas calculated above:
- Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3
- Total Area = 18 cm² + 6 cm² + 24 cm² = 48 cm²
### Indicate the total area in Question 2:
Area: **48 cm²**
Make sure to clarify the arrangement visually on a paper if needed to confirm the dimensions align! If there are any additional shapes or dimensions not mentioned here, you would adjust the calculations accordingly.
### Step 1: Identify the shapes
The dimensions suggest we might have several rectangles combined. We can identify the following shapes based on your dimensions:
- A rectangle with width of 6 cm and height of 3 cm (Area = 6 cm × 3 cm).
- A rectangle with width of 3 cm and height of 2 cm (Area = 3 cm × 2 cm).
- A rectangle with width of 8 cm and height of 3 cm (Area = 8 cm × 3 cm).
- A rectangle that is 6 cm wide and presumably a height we will need to check.
### Step 2: Calculate the area of each component
1. **Rectangle 1**: 6 cm (width) × 3 cm (height)
- Area = 6 × 3 = 18 cm²
2. **Rectangle 2**: 3 cm (width) × 2 cm (height)
- Area = 3 × 2 = 6 cm²
3. **Rectangle 3**: 8 cm (width) × 3 cm (height)
- Area = 8 × 3 = 24 cm²
4. **Rectangle 4**: If we're assuming the last rectangle stands at 6 cm wide and extends appropriately, depending on the arrangement, we might consider them similarly.
Let’s assume instead that it relates to another section that creates either an overhang or depth which we need to calculate.
### Step 3: Total Area Calculation
Now, add up the areas calculated above:
- Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3
- Total Area = 18 cm² + 6 cm² + 24 cm² = 48 cm²
### Indicate the total area in Question 2:
Area: **48 cm²**
Make sure to clarify the arrangement visually on a paper if needed to confirm the dimensions align! If there are any additional shapes or dimensions not mentioned here, you would adjust the calculations accordingly.