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Question 10

A community swimming pool is 7 yards 4.79 feet wide. How wide is the pool in meters and centimeters?

Using the conversion ratios below to correctly label the missing parts of the equation with the value and unit.

Conversion ratios:

1 m = 1.09 yd
1 ft = 0.3048 m
1 m = 100 cm
Round the meters to the nearest hundredth.

Question 10 A community swimming pool is 7 yards 4.79 feet wide. How wide is the pool-example-1

1 Answer

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This is a math problem that can be solved by using the conversion ratios between yards, feet, meters, and centimeters. The conversion ratios are:

- 1 m = 1.09 yd
- 1 ft = 0.3048 m
- 1 m = 100 cm

To find the width of the pool in meters and centimeters, we need to convert the given width in yards and feet to meters first, and then multiply by 100 to get centimeters. We can use the following equation to do this:

$$\text{width in meters} = \text{width in yards} \times \frac{\text{meters}}{\text{yard}} + \text{width in feet} \times \frac{\text{meters}}{\text{foot}}$$

Plugging in the given values and the conversion ratios, we get:

$$\text{width in meters} = (7 + \frac{4.79}{3}) \times \frac{1}{1.09} + 4.79 \times 0.3048$$

Using a calculator, we get:

$$\text{width in meters} \approx 7.25$$

To find the width in centimeters, we multiply by 100:

$$\text{width in centimeters} = \text{width in meters} \times \frac{\text{centimeters}}{\text{meter}}$$

$$\text{width in centimeters} = 7.25 \times 100$$

$$\text{width in centimeters} = 725$$

Therefore, the width of the pool in meters is about **7.25 m**, and the width of the pool in centimeters is **725 cm**.
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