A rectangle measures 10 meters by 6 meters. Clarice makes a scale drawing of the rectangle in which the greater dimension is 2 meters. What is the area of Clarice’s scale drawing?

Answer 1

Since the greater dimension on the scale drawing is 2 meters, we can set up a proportion to find the scale factor.

10 meters = 2 meters
6 meters = x meters

Cross multiplying:
10x = 12
x = 1.2

So, the scale factor is 1.2.

To find the area of the scale drawing, we need to multiply the dimensions of the actual rectangle by the scale factor.

Actual area = 10 meters x 6 meters = 60 square meters

Scale area = 10 meters x 1.2 x 6 meters x 1.2 = 12 meters x 7.2 meters = 86.4 square meters

Therefore, the area of Clarice's scale drawing is 86.4 square meters.