https://file.aiquickdraw.com/mathbot/file/1725996694446rhpzp0ix.jpg

To find the area of the given irregular shape, we can break it down into simpler geometric shapes, such as rectangles, and then sum their areas.

### Step-by-Step Breakdown:

1. **Identify the Rectangles:**
   - The shape can be divided into three main rectangles:
     - **Rectangle 1 (Top):** Width = 155 ft, Height = 50 ft
     - **Rectangle 2 (Middle):** Width = 40 ft, Height = 40 ft
     - **Rectangle 3 (Bottom):** Width = 155 ft, Height = 50 ft

2. **Calculate the Area of Each Rectangle:**
   - **Rectangle 1:** \( \text{Area} = 155 \times 50 = 7750 \, \text{ft}^2 \)
   - **Rectangle 2:** \( \text{Area} = 40 \times 40 = 1600 \, \text{ft}^2 \)
   - **Rectangle 3:** \( \text{Area} = 155 \times 50 = 7750 \, \text{ft}^2 \)

3. **Total Area:**
   - To find the total area, add the areas of all three rectangles:
     \[
     \text{Total Area} = 7750 + 1600 + 7750 = 17100 \, \text{ft}^2
     \]

Therefore, the total area of the shape is **17,100 square feet**.

Would you like more details, or do you have any questions? Here are some related questions you might find interesting:

1. How would you calculate the perimeter of this shape?
2. What if the dimensions of one of the rectangles were different?
3. How can you determine the area if the shape was not composed of rectangles?
4. What are some real-life applications of calculating areas of irregular shapes?
5. How would the area change if the width or height of the shape was increased?

**Tip:** When dealing with complex shapes, breaking them down into simpler geometric shapes often makes the problem more manageable.

Find the area of the irregular shape with dimensions 155 ft by 130 ft, broken into rectangles with smaller dimensions of 40 ft and 50 ft.

Learn how to calculate the area of an irregular shape by breaking it into smaller rectangles. In this example, a shape with a width of 155 ft and a height of 130 ft is divided into three rectangles, and their areas are summed to find the total area. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation