Question

A blueprint for a kitchen is proportional to the actual size of the kitchen. On the
blueprint, the width of the kitchen is 10 cm, and the actual width is 25 feet. What is the
actual length of the kitchen if the blueprint shows the length as 14 cm.

A. 28 feet
B. 35 feet
C. 34 feet
D. 29 feet

Answer 1

Answer:

B. 35 feet

Step-by-step explanation:

First off, we will need to make the measurement values the same. We can do this by converting feet (ft) to centimeters (cm).

1 ft = 30.48 cm

Blueprint Width: 10 cm

Actual Width: 25 ft x 30.48 = 762 cm

Now we have the actual width, simplified. We will then need to find the length of the kitchen when the blueprint length is 14cm. We can find the blueprint length if we have the corresponding ratio. So, let's go ahead and find the ratio.

762 / 10 = 76.2 : 1

Since we know now that the ratio is 76.2cm, all we have to do now is multiply it with the blueprint length (14cm).

76.2 x 14 = 1066.8 cm

Because the answer options are all listed in feet, we need to convert the measurement of centimeters back. We can do this by dividing.

1066.8 / 30.48 = 35 ft

Therefore, the final solution is 35 feet.