High School

A blueprint has a scale of 3 feet per 0.5 inch. If a bathroom is 1.5 inches by 2 inches, what are the actual dimensions?

A. 4.5 x 6
B. 6 x 7.5
C. 7.5 x 9
D. 9 x 12

Answer :

Final answer:

According to the scale given on blueprint, the actual dimensions of the bathroom are represented by option D, which are 9 feet by 12 feet.

Explanation:

First, let's convert the length: 1.5 inches * (3 feet / 0.5 inch) = 9 feet.

Next, let's convert the width: 2 inches * (3 feet / 0.5 inch) = 12 feet.

Therefore, the actual dimensions of the bathroom are 9 feet x 12 feet, which corresponds to option D: 9x12.The scale of the blueprint is 3 feet per 0.5 inch. Therefore, for a size on blueprint of 1.5 inches and 2 inches, the actual size can be calculated by multiplying their corresponding lengths in inches on the blueprint by the scale. For 1.5 inches, the actual size would be 3 * (1.5 / 0.5) = 9 feet. For 2 inches, it would be 3 * (2 / 0.5) = 12 feet. Therefore, the actual dimensions of the bathroom would be 9 feet by 12 feet. This makes the correct answer D. 9x12.

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