Find the lateral area of the prism?in the picture. **Understanding Geometric Shapes and Measurements****Diagram Description:**The image shows a geometric diagram composed of a combination of shapes. The main figure consists of a rectangle with a triangle on top. **Measurements and Details:**1. **Rectangle:** - Height: 30 inches. - Width: The width is not directly provided, but given the context it likely matches the triangle's base.2. **Triangle:** - The triangle sits directly on top of the rectangle. - The edges are marked, but no specific height for the triangle is given.3. **Dashed Lines:** - There are dashed lines within the rectangle forming two right-angled triangles at the bottom.4. **Measurements of the Internal Triangles:** - Each triangle has an adjacent side measuring 15 inches. - The hypotenuse of these triangles is 20 inches long.**Explanation:**This diagram can be used to explain concepts such as:- **Basic Geometric Shapes:** Identification of rectangles and triangles.- **Pythagorean Theorem:** Given that the right-angled triangle sides are labeled, it allows calculation verification.- **Measurement Reading:** Understanding how to read and interpret measurements from geometric figures.**Practical Exercise:**- Calculate the width of the rectangle using the measurements provided.- Verify the length of the hypotenuse using the Pythagorean theorem: $ c = \sqrt{a^2 + b^2} $.- Understand how geometric shapes can be combined to form complex figures.This diagram provides a practical visual aid for learning about geometry and measurement interpretation.

Answered: Image /qna-images/answer/234005c8-0359-4a19-b464-50bda08bcdc1.jpg

Answered: 15 in. 30 in. 20 in.

Math

Geometry

15 in. 30 in. 20 in.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Find the lateral area of the prism?

in the picture.

**Understanding Geometric Shapes and Measurements**

**Diagram Description:**

The image shows a geometric diagram composed of a combination of shapes. The main figure consists of a rectangle with a triangle on top.

**Measurements and Details:**

1. **Rectangle:**
- Height: 30 inches.
- Width: The width is not directly provided, but given the context it likely matches the triangle's base.

2. **Triangle:**
- The triangle sits directly on top of the rectangle.
- The edges are marked, but no specific height for the triangle is given.

3. **Dashed Lines:**
- There are dashed lines within the rectangle forming two right-angled triangles at the bottom.

4. **Measurements of the Internal Triangles:**
- Each triangle has an adjacent side measuring 15 inches.
- The hypotenuse of these triangles is 20 inches long.

**Explanation:**

This diagram can be used to explain concepts such as:

- **Basic Geometric Shapes:** Identification of rectangles and triangles.
- **Pythagorean Theorem:** Given that the right-angled triangle sides are labeled, it allows calculation verification.
- **Measurement Reading:** Understanding how to read and interpret measurements from geometric figures.

**Practical Exercise:**

- Calculate the width of the rectangle using the measurements provided.
- Verify the length of the hypotenuse using the Pythagorean theorem: $ c = \sqrt{a^2 + b^2} $.
- Understand how geometric shapes can be combined to form complex figures.

This diagram provides a practical visual aid for learning about geometry and measurement interpretation.

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