This question is based on the conversion of units. Therefore, the answers are 0.20 meter and the dimension of room are 3 meter by 4 meter.
Given:
Size of scale is 1 m = 5 cm. The scale drawing is the preimage and the room is the dilated image.
We need to determined the scale in terms of centimeters to meters.
Scale in terms of cm to m is,
[tex]1 cm = \dfrac{1}{5} \, meter = 0.20 meter[/tex]
Now, we need to determined the dimensions of the room.
It is given that, the scale drawing measures 15 centimeters by 20 centimeters.
As the dimensions are 15 cm and 20 cm, we have to multiply them by 5 to convert them to meters.
Therefore,
[tex]15 \times 0.20 = 3 \, meter\\20 \times 0.20= 4\, meter[/tex]
Hence, the dimension of room are 3 meter by 4 meter.
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