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Leviafan [203]
3 years ago
14

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

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

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

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