Question

A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet

Answer 1

(b) Length = 30 feet, width = 20 feet

Explanation:

The scale factor is applied to the drawing dimensions to find the actual dimensions.

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length = (6 cm) × (5 ft)/(1 cm) = 30 ft

width = (4 cm) × (5 ft)/(1 cm) = 20 ft

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Additional comment

You can also write the scale factor as part of a proportion:

5 ft : 1 cm :: x ft : 6 cm

Multiplying by 6 cm gives

(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above