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What is the area of a rectangle that has side lengths of \(\frac{3}{4}\) yard and \(\frac{3}{5}\) yard?

A. \(\frac{15}{24}\)

B. \(\frac{18}{20}\)

C. \(\frac{8}{10}\)

D. \(\frac{8}{24}\)

Answer :

Final answer:

The area of a rectangle with sides of 3/4 yard and 3/5 yard is 18/20 square yards. Therefore the correct answer is b).

Explanation:

To find the area of a rectangle, you multiply the lengths of its two sides together. In this case, the sides are 3/4 yard and 3/5 yard. You would calculate this as follows:

Area = Length × Width = (3/4) yard × (3/5) yard = 18/20 square yards.

Therefore, the area of the rectangle is 18/20 square yards.

Considering the options given, we need to find the choice that matches 9/20 when simplified. Option (a) 15/24 simplifies to 5/8, option (b) 18/20 simplifies to 9/10, option (c) 8/10 simplifies to 4/5, and option (d) 8/24 simplifies to 1/3. when simplified, equal 18/20.

To find the area of a rectangle, we multiply the length by the width. In this case, the length is 3/4 yard and the width is 3/5 yard. So the area is (3/4)(3/5) = 18/20 square yards.

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