If a rectangle has a length of 10 cm and width of 5 cm, what is its area?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To find the area of a rectangle, you use the formula:

[ \text{Area} = \text{Length} \times \text{Width} ]

In this case, the given length of the rectangle is 10 cm and the width is 5 cm. Plugging these values into the formula gives:

[ \text{Area} = 10 , \text{cm} \times 5 , \text{cm} = 50 , \text{cm}^2 ]

This calculation shows that the area of the rectangle is indeed 50 cm², which corresponds to the correct answer.

The other choices do not align with the dimensions provided for the rectangle. Specifically, 15 cm² and 30 cm² result from using the numbers inaccurately. For instance, 15 cm² could appear if an incorrect combination of the length and width was used, while 30 cm² might come from a miscalculation like erroneously doubling the width or misinterpreting what values to multiply. The option of 60 cm² would imply a misunderstanding of the rectangle's dimensions, as it suggests an area based on a length or width that is not provided. Thus, the correct area of

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