**Problem 17: Area Conversion**The following exact conversion equivalents are given: - 1 meter (m) = 100 centimeters (cm)- 1 inch (in) = 2.54 centimeters (cm)- 1 foot (ft) = 12 inches (in)**Question:**If a computer screen has an area of 1.27 square feet (ft²), this area is closest to which of the following values? *(Show work)***Options:**A) 0.00284 square meters (m²) B) 0.0465 square meters (m²) C) 0.118 square meters (m²) D) 0.284 square meters (m²) E) 4.65 square meters (m²) **Detailed Solution Explanation:**To convert from square feet (ft²) to square meters (m²), follow these steps:1. **Convert feet to inches**: - Since 1 ft = 12 in, an area of 1.27 ft² can be seen as the area occupied by a square with a side length equivalent to the square root of 1.27 feet, all sides being of equal length.2. **Convert inches to centimeters**: - Since 1 in = 2.54 cm, find the equivalent area in cm².3. **Convert centimeters to meters**: - Since 1 m = 100 cm, further convert the area from cm² to m².This step-by-step conversion approach ensures the correct conversion from ft² to m² for accurately determining the area in square meters.

Given, 1m = 100 cm 1in = 2.54 cm 1ft = 12 in So, 1ft = 12× 2.54 cm = 30.48 cm Since 1 cm = 1/100…

17) The following exact conversion equivalents are given: 1 m = 100 cm , 1 in = 2.54 cm, and 1 ft 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to (Show work). A) 0.00284 m2. B) 0.0465 m2. C) 0.118 m2. D) 0.284 m2. E) 4.65 m2.

17) The following exact conversion equivalents are given: 1 m = 100 cm , 1 in = 2.54 cm, and 1 ft 12 in. If a computer screen has an area of 1.27 ft2, this area is closest to (Show work). A) 0.00284 m2. B) 0.0465 m2. C) 0.118 m2. D) 0.284 m2. E) 4.65 m2.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Problem 17: Area Conversion**

The following exact conversion equivalents are given:
- 1 meter (m) = 100 centimeters (cm)
- 1 inch (in) = 2.54 centimeters (cm)
- 1 foot (ft) = 12 inches (in)

**Question:**
If a computer screen has an area of 1.27 square feet (ft²), this area is closest to which of the following values? *(Show work)*

**Options:**
A) 0.00284 square meters (m²)
B) 0.0465 square meters (m²)
C) 0.118 square meters (m²)
D) 0.284 square meters (m²)
E) 4.65 square meters (m²)

**Detailed Solution Explanation:**

To convert from square feet (ft²) to square meters (m²), follow these steps:

1. **Convert feet to inches**:
- Since 1 ft = 12 in, an area of 1.27 ft² can be seen as the area occupied by a square with a side length equivalent to the square root of 1.27 feet, all sides being of equal length.

2. **Convert inches to centimeters**:
- Since 1 in = 2.54 cm, find the equivalent area in cm².

3. **Convert centimeters to meters**:
- Since 1 m = 100 cm, further convert the area from cm² to m².

This step-by-step conversion approach ensures the correct conversion from ft² to m² for accurately determining the area in square meters.

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