Question

Joseph measured a house and made a scale drawing. The scale he used was

11 centimeters :5 meters. If the actual length of the garage is 10 meters, how long is the
garage in the drawing?

Answer 1

The length of the garage on the drawing is 22 cm

Explanation:

The scale of the scale drawing = 11 centimeters: 5 meters

The actual length of the garage = 10 meters

The length of the garage in the drawing is found as follows;

5 meters = 500 centimeters

10 meters = 1,000 centimeter

Therefore, the scale of the drawing = 11 cm : 5 m = 11 cm : 500 cm

Let 'a' represent the length of the garage on the drawing, we have;

a : 1,000 cm = 11 cm : 500 cm

Therefore;

`(a)/(1,000 \ cm) = (11 \ cm)/(500 \ cm)`

`a= 1,000 \ cm * (11 \ cm)/(500 \ cm) = 2 \ cm * 11 = 22 \, cm`

The length of the garage on the drawing, a = 22 cm.