Question

1. If 1 cm represents 10 m, what are the actual measurements of the gym including

the closet?
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?

Answer 1

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.

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 =
`18cm^2*(12m)/(1cm)*(12m)/(1cm)=18*12*12m^2=2592m^2`

Actual Gym Area = 2592 sq. m.