Question

What is the area of the composite figure?

(1 point)
Responses

31 square miles
31 square miles

28 square miles
28 square miles

25 square miles
25 square miles

21 square miles

The image:
There are three shapes in this composite figure.

1. Shape: rectangle
Top: 1 m
Side: 3

2. Shape: square
Top: 1 m
Side: 1 m

3. Shape: rectangle
Top: 7 m
Side: 3

Answer 1

To find the area of the composite figure formed by the shapes you've described, we need to calculate the area of each shape individually and then sum them up.

1. **Rectangle 1:**
- Length = 1 m
- Width = 3 m
- Area = Length × Width = 1 m × 3 m = 3 m²

2. **Square:**
- Side = 1 m
- Area = Side × Side = 1 m × 1 m = 1 m²

3. **Rectangle 2:**
- Length = 7 m
- Width = 3 m
- Area = Length × Width = 7 m × 3 m = 21 m²

Now, let's sum the areas of all three shapes:
- Total Area = Area of Rectangle 1 + Area of Square + Area of Rectangle 2
- Total Area = 3 m² + 1 m² + 21 m² = 25 m²

Therefore, the area of the composite figure is **25 square miles**.