Question

The Scale In The Drawing 4cm:5m Drag And Drop The Correct Numbers into the boxes to give the length width and area of the actual room

18 cm
----------------------------
9 cm | |
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The length is _____ meters, the width is ____ meters, and the area is _____ square meters.
- 9
- 15
- 18
- 30
- 162
- 450

Answer 1

The length of the actual room is 22.5 meters, the width is 11.25 meters, and the area is 253.125 square meters.

Step-by-step explanation:

To find the dimensions of the actual room, we need to use the scale of the drawing 4cm:5m. Since the length in the drawing is 18cm, we can set up a proportion using the scale factor:

4cm / 5m = 18cm / x

Cross multiplying, we get:

x = (18cm * 5m) / 4cm = 22.5m

So the length of the actual room is 22.5 meters.

Similarly, using the scale factor and the width in the drawing (9cm), we can find the width of the actual room:

4cm / 5m = 9cm / y

By cross multiplying, we have:

y = (9cm * 5m) / 4cm = 11.25m

Therefore, the width of the actual room is 11.25 meters.

To calculate the area of the actual room, we multiply the length and width:

Area = 22.5m * 11.25m = 253.125 sq. m