Question

Using the scale of 1 cm to 1.5 meters, what would be the actual area of a scale drawing that is 4 cm by 10 cm?

a) 6 square meters
b) 15 square meters
c) 20 square meters
d) 24 square meters

Answer 1

To find the actual area of the scale drawing, multiply the scale drawing dimensions by the scale factor and then multiply the actual length and width to find the actual area.

Step-by-step explanation:

To find the actual area of the scale drawing, we need to first calculate the dimensions of the actual area represented by the drawing. Given that the scale is 1 cm to 1.5 meters, we can calculate the actual dimensions by multiplying the scale drawing dimensions by the scale factor. The scale factor in this case is 1.5 meters / 1 cm = 1.5 meters / 1 cm = 150 cm / 1 cm = 150.

So, the actual dimensions of the area represented by the scale drawing are 4 cm x 150 = 600 cm and 10 cm x 150 = 1500 cm.

Now, to find the actual area, we multiply the actual length and width: 600 cm x 1500 cm = 900,000 cm² or 90 m².

Therefore, the actual area of the scale drawing is 90 square meters.