Question

The scale drawing of a rectangular city park measures 10.0 cm by 5.0 cm. The scale of the drawing is 1.0 cm = 4.5 m. What is the area, in square meters, of the actual park?

Answer 1

The area of the actual park = 1,012.5 m^2

Explanation:

In this question, we want to calculate the actual area of the park.

The scale drawing is given as 10 cm by 5 cm

Let’s translate this to actual measurements;

Since 1 cm = 4.5 m, then 10 cm will be 10 * 4.5 = 45 m while 5.0cm will be 5 * 4.5 = 22.5 m

So the actual dimensions of the park will be ;

45m by 22.5 m

Mathematically, the area of a rectangle = L * B = 45 m * 22.5 m = 1,012.5 m^2