What is the perimeter of kite WXYZ? 5- 4 2/53 +2 units W(-3,3) X(2,3) O 2/53 +5 units -2- 253 + 10 units 5-4 -2 -1 253 +14 units -2 Z-3.–2). Y(4.–4) 5- %24
What is the perimeter of kite WXYZ? 5- 4 2/53 +2 units W(-3,3) X(2,3) O 2/53 +5 units -2- 253 + 10 units 5-4 -2 -1 253 +14 units -2 Z-3.–2). Y(4.–4) 5- %24
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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![### Geometry Problem: Kite Perimeter Calculation
#### Objective
Calculate the perimeter of the kite WXYZ as shown in the coordinate plane.
#### Graph Description
The coordinate plane displays a kite-shaped figure, labeled as WXYZ. The vertices of the kite are as follows:
- \( W(-3, 3) \)
- \( X(2, 3) \)
- \( Y(4, -4) \)
- \( Z(-3, -2) \)
A blue shaded region highlights the area of the kite.
#### Question
**What is the perimeter of kite WXYZ?**
#### Answer Choices
- \( \sqrt{53} + 2 \) units
- \( 2\sqrt{53} + 5 \) units
- \( 2\sqrt{53} + 10 \) units
- \( 2\sqrt{53} + 14 \) units
#### Calculation Strategy
To determine the perimeter of the kite, calculate the distance between each pair of adjacent vertices using the distance formula:
\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
By finding the lengths of each side of the kite and summing them, one can determine the kite's perimeter.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1fefc4e4-0fc1-4d3a-92e0-1dd9cbc9acda%2F28c03bd5-18b0-49da-bcc3-83c4e8530899%2Fbkbl2n8.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problem: Kite Perimeter Calculation
#### Objective
Calculate the perimeter of the kite WXYZ as shown in the coordinate plane.
#### Graph Description
The coordinate plane displays a kite-shaped figure, labeled as WXYZ. The vertices of the kite are as follows:
- \( W(-3, 3) \)
- \( X(2, 3) \)
- \( Y(4, -4) \)
- \( Z(-3, -2) \)
A blue shaded region highlights the area of the kite.
#### Question
**What is the perimeter of kite WXYZ?**
#### Answer Choices
- \( \sqrt{53} + 2 \) units
- \( 2\sqrt{53} + 5 \) units
- \( 2\sqrt{53} + 10 \) units
- \( 2\sqrt{53} + 14 \) units
#### Calculation Strategy
To determine the perimeter of the kite, calculate the distance between each pair of adjacent vertices using the distance formula:
\[ \text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
By finding the lengths of each side of the kite and summing them, one can determine the kite's perimeter.
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