https://file.aiquickdraw.com/mathbot/file/172986116021328jzzf27.jpg

The diagram shows a right triangle, which is part of a scale drawing. Let’s solve for the **actual area** of the triangle based on the given information.

### Step 1: Understand the scale and measurements
- The triangle’s dimensions in the drawing are:
  - Base: **2 inches**
  - Height: **2 inches**

- The problem states that **1 inch = 2 feet** in the actual dimensions.

### Step 2: Calculate the actual base and height
- Since each inch equals 2 feet:
  - Actual base = \(2 \, \text{inches} \times 2 \, \text{feet per inch} = 4 \, \text{feet}\)
  - Actual height = \(2 \, \text{inches} \times 2 \, \text{feet per inch} = 4 \, \text{feet}\)

### Step 3: Use the area formula for a triangle
The formula for the area of a triangle is:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Substitute the actual base and height:
\[
\text{Area} = \frac{1}{2} \times 4 \, \text{feet} \times 4 \, \text{feet}
\]
\[
\text{Area} = \frac{1}{2} \times 16 \, \text{square feet} = 8 \, \text{square feet}
\]

### Final Answer
The **actual area** of the side of the ramp is:
\[
8 \, \text{square feet}
\]

Would you like further details or clarification?  

Here are 5 related questions to expand your understanding:
1. How do you calculate the hypotenuse of the triangle from its side lengths?
2. What is the perimeter of the actual triangle in feet?
3. How would the area change if the scale factor was 1 inch = 3 feet?
4. How does the area formula differ for non-right triangles?
5. How do you convert between square feet and square inches?

**Tip:** When working with scale drawings, always apply the scale factor to each dimension before calculating areas or perimeters!

What is the actual area, in square feet, of the side of the ramp?

Learn how to calculate the actual area of the side of a ramp using a scale drawing, where 1 inch equals 2 feet. Follow a detailed step-by-step solution to find the area of the triangle and apply the scale factor. Suitable for students in 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