Question

What is the difference between the actual area of the rollercoaster and the garden in the map of a park shown below?

• A. 400 sq. m
• B. 800 sq. m
• C. 1000 sq. m
• D. 200 sq. m

Answer 1

The correct option is B 800 sq. m

We can determine the area of each structure by counting the number of unit squares covered by them.

Area of the rollercoaster in the map = 2 + 4 + 4 = 10 sq. cm
Area of the garden in the map = 4 + 4 = 8 sq. cm

Difference in area in the map = 10 - 8 = 2 sq. cm

Since the scale used in the map is 1 cm = 20 m,
Actual area of a unit square in the map = 20 m $\times$ 20 m = 400 sq. m
=> Actual differnce in the area of the rollercoaster and the garden = 2 $\times$ 20 m $\times$ 20 m = 800 sq. m