Find z so that the 2 rectangles are similar. N 2= 3 Submit Question Q 25 5

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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**Title: Finding Similar Rectangles**

**Objective**: Determine the value of \( z \) to make two rectangles similar.

**Problem Statement**: 
Find \( z \) so that the 2 rectangles are similar.

**Description**:
We are given two rectangles. To find the value of \( z \), we must ensure the rectangles are similar, meaning their corresponding sides must be in proportion.

**Diagrams**:

- **First Rectangle**:
  - Height: \( z \)
  - Width: 3

- **Second Rectangle**:
  - Height: 25
  - Width: 5

Since the rectangles are similar, the ratio of the corresponding sides must be equal:
\[
\frac{z}{3} = \frac{25}{5}
\]

**Task**:
Solve for \( z \) using the proportion and submit your answer.

**Input Box**:
\[ z = \, \_\_ \]

**Button**:
- Submit Question

Use the given proportion to calculate the value of \( z \) that satisfies the condition of similarity.
Transcribed Image Text:**Title: Finding Similar Rectangles** **Objective**: Determine the value of \( z \) to make two rectangles similar. **Problem Statement**: Find \( z \) so that the 2 rectangles are similar. **Description**: We are given two rectangles. To find the value of \( z \), we must ensure the rectangles are similar, meaning their corresponding sides must be in proportion. **Diagrams**: - **First Rectangle**: - Height: \( z \) - Width: 3 - **Second Rectangle**: - Height: 25 - Width: 5 Since the rectangles are similar, the ratio of the corresponding sides must be equal: \[ \frac{z}{3} = \frac{25}{5} \] **Task**: Solve for \( z \) using the proportion and submit your answer. **Input Box**: \[ z = \, \_\_ \] **Button**: - Submit Question Use the given proportion to calculate the value of \( z \) that satisfies the condition of similarity.
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