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An architect is designing a bridge that will be 24 yards 1.5 feet long. How long will the bridge be in meters and centimeters? Round the centimeters to the nearest tenth.

Conversion ratios:
- [tex]1 \, \text{m} = 1.1 \, \text{yd}[/tex]
- [tex]3 \, \text{ft} = 1 \, \text{yd}[/tex]
- [tex]0.01 \, \text{m} = 1 \, \text{cm}[/tex]

A. 22 m 27.3 cm
B. 22 m 1.5 cm
C. 22 m 2.7 cm



Answer :

GinnyAnswer
To determine the length of the bridge in meters and centimeters, let's follow the step-by-step conversions and calculations:

1. Convert feet to yards:
- Given: 3 feet = 1 yard
- Therefore, 1 foot = 1/3 yard
- So, 1.5 feet = 1.5 1/3 yards
- 1.5 feet = 0.5 yards

2. Add the converted length in yards to the initial length in yards:
- Initial length = 24 yards
- Add the converted length in yards (0.5 yards)
- Total length in yards = 24 + 0.5 = 24.5 yards

3. Convert the total length from yards to meters:
- Given: 1 meter = 1.1 yards
- Therefore, 1 yard = 1 / 1.1 meters
- So, 24.5 yards (1 / 1.1) meters per yard
- Total length in meters = 24.5 / 1.1 ≈ 22.2727 meters

4. Separate the meter part from the meter and centimeter part:
- Integral part (meter) = 22 meters
- Decimal part (centimeter) = 22.2727 - 22 ≈ 0.2727 meters

5. Convert the remaining decimal part to centimeters:
- Given: 0.01 meter = 1 centimeter
- So, 0.2727 meters 100 centimeters per meter
- Decimal part in centimeters = 0.2727 100 ≈ 27.27 centimeters

6. Round the centimeters to the nearest tenth:
- 27.27 centimeters rounded to the nearest tenth is 27.3 centimeters

So the length of the bridge will be approximately 22 meters and 27.3 centimeters.

The correct answer is:
A ) 22 m 27.3 cm

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