Find the area and perimeter of each of the following ### Geometry: Properties of Rectangles#### Example Problems**10.** This figure depicts a rectangle with its sides labeled. The length of the longer side (horizontal side) is 8 units, and the length of the shorter side (vertical side) is 6 units. Both corners shown are right angles, indicating that the figure is a rectangle.**11.** This figure is a rectangle as well, but includes a diagonal line connecting two opposite corners. The length of one vertical side is labeled as 5 units, and the diagonal of the rectangle is labeled as 13 units. The figure demonstrates a right angle in one corner, confirming the shape as a rectangle.**12.** This figure shows a rectangle with a diagonal line connecting two opposite corners. The length of one vertical side is labeled as 2 units. Additionally, the angle between the diagonal and the longer side of the rectangle (which is the horizontal side) is labeled as 30 degrees. The figure also includes right angles at the corners, confirming that the shape is a rectangle.### ObservationsIn these examples, the rectangles highlight different properties and measurements, including side lengths, diagonal lengths, and angles within a rectangle. These properties are crucial for solving various geometric problems related to rectangles.

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Answered: 10. 6 8

Math

Geometry

10. 6 8

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 area and perimeter of each of the following

### Geometry: Properties of Rectangles

#### Example Problems

**10.**
This figure depicts a rectangle with its sides labeled. The length of the longer side (horizontal side) is 8 units, and the length of the shorter side (vertical side) is 6 units. Both corners shown are right angles, indicating that the figure is a rectangle.

**11.**
This figure is a rectangle as well, but includes a diagonal line connecting two opposite corners. The length of one vertical side is labeled as 5 units, and the diagonal of the rectangle is labeled as 13 units. The figure demonstrates a right angle in one corner, confirming the shape as a rectangle.

**12.**
This figure shows a rectangle with a diagonal line connecting two opposite corners. The length of one vertical side is labeled as 2 units. Additionally, the angle between the diagonal and the longer side of the rectangle (which is the horizontal side) is labeled as 30 degrees. The figure also includes right angles at the corners, confirming that the shape is a rectangle.

### Observations

In these examples, the rectangles highlight different properties and measurements, including side lengths, diagonal lengths, and angles within a rectangle. These properties are crucial for solving various geometric problems related to rectangles.

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