Answer:
1. 50 meters by 40 meters
2. 20 meters by 10 meters
3. 60 meters by 48 meters
4. Drawing Gym Area = 18 sq. cm. and Actual Gym Area = 2592 sq. m.
Step-by-step explanation:
1.
The drawing length of the GYM+CLOSET area is:
5 cm by 4 cm
Since 1 cm represents 10 m in real life, we can say the real life dimensions are:
5cm * 10 = 50 meters
4 cm * 10 = 40 meters
THe actual measurements of gym (including closet):
50 meters by 40 meters
2.
The drawing measurement of the closet would be:
2 cm length given and 1 cm width given
Since we know 1 cm represents 10 meters in real life, the actual measurements would be:
1cm * 10 = 10 meters
2 cm * 10 = 20 meters
The actual dimensions of closet:
20 meters by 10 meters
3.
Gym + Closet area is still 5cm by 4cm in the drawing.
Now, the scale changes. The new scale is:
1cm = 12 meters
So,
5cm * 12 = 60 meters
4 cm * 12 = 48 meters
The actual measurement of Gym and Closet (new scale):
60 meters by 48 meters
4.
First, let find the area of the gym. This will be total area - closet area
We know area of rectangular figure is Length * Width
SO,
Total Area = 5 * 4 = 20
Closet Area = 2 * 1 = 2
Thus,
Gym Area = 20 - 2 = 18
Gym Area = 18 sq. cm.
In real life (1cm = 12 m -- new scale), Gym Area would be:
Gym Area = [tex]18cm^2*\frac{12m}{1cm}*\frac{12m}{1cm}=18*12*12m^2=2592m^2[/tex]
Actual Gym Area = 2592 sq. m.
