Alice builds a model of a house. She uses a scale of 1 : 20. The height of the real house is 10 meters. The width of the model is 80cm. Work out the width of the real house.

1 answer

To find the width of the real house using the scale of 1:20, we need to understand what the scale means. A scale of 1:20 means that 1 unit in the model is equivalent to 20 units in real life.

Given that the width of the model is 80 cm, we can use the scale to find the width of the real house:

\[ \text{Width of the real house} = \text{Width of the model} \times 20 \]

Substituting the values:

\[ \text{Width of the real house} = 80 \text{ cm} \times 20 \]

Calculating that:

\[ \text{Width of the real house} = 1600 \text{ cm} \]

To convert this into meters, since there are 100 cm in 1 meter:

\[ \text{Width of the real house} = \frac{1600 \text{ cm}}{100} = 16 \text{ meters} \]

Thus, the width of the real house is 16 meters.