Question

2. The area of a figure is 207 m². If the

dimensions are multiplied by what will
3'
be the area of the new figure?

Answer 1

23 m^2

Explanation:

As all of the dimensions have been multiplied by a constant, the two figures are similar to one another.

The ratio between the areas of two similar figures is given by the ratio of similarity (= the ratio between two similar sides between the two figures) squared.

In our case, the ratio of similarity is 1/3.
Therefore, the ratio between the two areas is (1/3)^2 = 1/9.

`207 * \frac19 = 23 \left[\text{m}^2\right]`

Answer 2

Explanation:

If the dimensions of a figure are multiplied by 1/3, then the area of the new figure will be 1/9 of the original area.

Therefore, if the area of the original figure is 207 m², then the area of the new figure will be 23 m² (207 m² * 1/9).

I hope this helps!