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Find the value for x. ABCD - JKLH A D X = 5 Submit Question B 4 C H L 3x + 2 J 4x + 2 K

Find the value for x. ABCD - JKLH A D X = 5 Submit Question B 4 C H L 3x + 2 J 4x + 2 K

Elementary Geometry For College Students, 7e
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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**Problem Statement:** Find the value for \( x \). **Given:** ABCD ∼ JKLH **Diagram Details:** The figure shows two rectangles, ABCD and JKLH, indicating that they are similar. 1. Rectangle ABCD: - Side \( AB = 4 \) - Side \( AD = 5 \) 2. Rectangle JKLH: - Side \( HJ = 4x + 2 \) - Side \( HL = 3x + 2 \) **Solution Step:** To find the value of \( x \), use the property of similar rectangles where the ratio of corresponding sides is equal: \[ \frac{AB}{HJ} = \frac{AD}{HL} \] Plug in the given values to solve for \( x \). **Input for Verification:** An input box labeled \( x = \) is provided for entering the value of \( x \). **Action Button:** A "Submit Question" button is available to submit the solution.
Transcribed Image Text:**Problem Statement:** Find the value for \( x \). **Given:** ABCD ∼ JKLH **Diagram Details:** The figure shows two rectangles, ABCD and JKLH, indicating that they are similar. 1. Rectangle ABCD: - Side \( AB = 4 \) - Side \( AD = 5 \) 2. Rectangle JKLH: - Side \( HJ = 4x + 2 \) - Side \( HL = 3x + 2 \) **Solution Step:** To find the value of \( x \), use the property of similar rectangles where the ratio of corresponding sides is equal: \[ \frac{AB}{HJ} = \frac{AD}{HL} \] Plug in the given values to solve for \( x \). **Input for Verification:** An input box labeled \( x = \) is provided for entering the value of \( x \). **Action Button:** A "Submit Question" button is available to submit the solution.
Expert Solution
Step 1

Given that the rectangle ABCD~JKLH.

Find the value of x.

 

 

 

 

A rectangle is shape having four sides , four corners and four right angles. The opposite sides of a rectangle are equal and parallel.

If two rectangles are said to be similar, their corresponding sides have to be proportional.

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I plugged it in and it said it is incorrect

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