The length of this rug is 38.4 in. and the width is 24.2 in.
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d. Calculate the area of the rug, in square centimeters, to the correct number of significant figures. (Area = Length x Width)

검증된 단계별 안내

Convert the length of the rug from inches to centimeters. Use the conversion factor: 1 inch = 2.54 cm. Multiply the length in inches (38.4 in) by 2.54 cm/in to get the length in centimeters.

Convert the width of the rug from inches to centimeters. Similarly, multiply the width in inches (24.2 in) by 2.54 cm/in to get the width in centimeters.

Calculate the area of the rug in square centimeters using the formula:

Area = Length \times Width

. Multiply the converted length (in cm) by the converted width (in cm).

Determine the correct number of significant figures for the final result. The original measurements (38.4 in and 24.2 in) each have 3 significant figures, so the area should also be reported with 3 significant figures.

Report the final area in square centimeters, rounded to 3 significant figures, as required by the rules of significant figures.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Area Calculation

Area is calculated by multiplying the length and width of a two-dimensional shape. In this case, the area of the rug can be found using the formula Area = Length x Width. It is essential to ensure that both dimensions are in the same unit before performing the calculation.

Unit Conversion

To express the area in square centimeters, it is necessary to convert the dimensions from inches to centimeters. The conversion factor is 1 inch = 2.54 centimeters. This step is crucial as it ensures that the final area measurement is in the desired unit.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing calculations, the result should be reported with the correct number of significant figures based on the precision of the measurements used. This ensures that the final answer accurately reflects the certainty of the input values.

The length of this rug is 38.4 in. and the width is 24.2 in.<IMAGE>d. Calculate the area of the rug, in square centimeters, to the correct number of significant figures. (Area = Length x Width)