Answer:
The actual dimensions of the Check-out area are 25 m and 15 m
Explanation:
* Lets explain how to solve the problem
- Look to the attached figure
- There is a drawing for the Floor plan of library
- The Floor plan of library has three areas Books , Study area and
Check-out area
- The dimensions of the Study area are 2 cm and 4 cm
- The dimensions of Books area are 3 cm and 4 cm
- The dimensions of the Check-out area are (2 + 3) cm and (7 - 4) cm
∴ The dimensions of the Check-out area are 5 cm and 3 cm
- The scale of drawing is 1 cm : 5 m
∵ The scale drawing is the ratio between the drawing length and
the actual length
∵ The terms of the ratio must have same units
∴ The terms of the scale drawing must have same units
∵ The scale drawing is 1 cm : 5 m
∵ 1 m = 100 cm
∴ 5 m = 5 × 100 = 500 cm
∴ The scale drawing is 1 cm : 500 cm = 1 : 500
∵ The dimensions of the Check-out area are 5 cm and 3 cm
∵ 1 : 500
5 : actual length
3 : actual width
- By using cross multiplication we can find the actual dimensions
∴ The actual length = (5 × 500)/1 = 2500 cm
∴ The actual width = (3 × 500)/1 = 1500 cm
∵ 1 cm = 1/100 m
∴ The actual length = 2500 × 1/100 = 25 m
∴ The actual width = 1500 × 1/100 = 15 m
∴ The actual dimensions of the Check-out area are 25 m and 15 m