Question

On the 1:1000 scale plan, the length and width of the house are drawn as 2 cm and 1.5 cm.

a. Find the actual size.
6. Find the ratio of the area of ​​the foundation of the house to the area on the floor plan.

Answer 1

a. Actual size: 20 m x 15m

b. 1,000,000 : 1

Explanation:

(a) Since scale is 1:1000, multiply both length and width on the floor pan to get actual length and width of house

a. Actual size

= 2 x 1000 cm x 1.5 x 1000 cm

= 2000 cm x 1500 cm

= 20m x 15m (since 1 m = 100 cm

(b) Area on plan = 2 x 1.5 = 3 cm²

Actual area = 2000 x 1500 = 3,000,000 cm²

Ratio of actual area to floor plan area
= 3,000,000 / 3 = 1,000,000 : 1