Question

plz help me sorry if its blur

Answer 1

The scale factor for the given diagram is $\dfrac{4}{3}$.

The actual area is $27\ \mathrm{units^2}$.

The scale drawing area is $48\ \mathrm{units^2}$.

The ratio is $9:16$.

Solution

Let's take a look at two diagrams. The two diagrams are similar and the ratio of their corresponding side is $3:4$.

The actual area is the area of the left triangle, so it is $27\ \mathrm{units^2}$.

The scale drawing area is the area of the right triangle, so it is $48\ \mathrm{units^2}$.

Comparing the area of triangles, we see that the ratio of their area is $9:16$.

More Information

Scale Factor

If scale factor > 1, the drawing is magnified.

If scale factor = 1, the drawing is equivalent.

If 0 < scale factor < 1, the drawing is reduced.

Scale Factor and the Area

The ratio of a shape to its scale drawing is the square of their ratio. For example, in this question scale ratio is $3:4$, and the area ratio is $9:16$.