Question

Suppose the base and height are each multiplied by 1/2 what effect would this have on the area

Answer 1

Answer:

The area of the resulting figure is $4$ times smaller than the area of the original figure

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

I assume that the figure is a rectangle or a triangle

Let

z------> the scale factor

x-----> the area of the resulting figure

y----> the area of the original figure

so

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{2}$

substitute

$(\frac{1}{2})^{2}=\frac{x}{y}$

$(\frac{1}{4})=\frac{x}{y}$

$x=y/4$

therefore

The area of the resulting figure is  $4$ times smaller than the area of the original figure