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A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase measurements be on a scale using the scale 3cm:2 ft?

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Final answer:

To find the scaled measurements of a bookcase that is 13 feet wide and 24 feet tall using a scale of 3cm:2ft, multiply each dimension by the scale factor of 1.5cm/1ft. This results in a scaled width of 19.5 cm and a scaled height of 36 cm for the bookcase.

Step-by-step explanation:

Scale Models and Measurements

The student has asked for the measurements of a bookcase on a scale of 3cm:2ft. This involves converting the actual size of the bookcase to the size on a scale drawing or model. The first step is to determine the scale factor, which is the ratio of the scale measurement to the actual measurement. In this case, for every 2 feet of actual measurement, it is represented as 3 centimeters on the scale model.

To convert the width of the bookcase, which is 13 feet, we use the scale factor 3cm/2ft:

(13 feet) * (3 cm / 2 feet) = 19.5 cm

Similarly, to convert the height of the bookcase, which is 24 feet, we use the same scale factor:

(24 feet) * (3 cm / 2 feet) = 36 cm

Therefore, the measurements of the bookcase on this scale would be 19.5 cm wide and 36 cm tall.

User WillH
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