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# help

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The area of trapezoid ABCD is 224 cm^2. The lengths of the two bases of the trapezoid are 7 cm and 21 cm. Find the area of triangle PAB

Apr 28, 2020

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Where is point P?

Apr 28, 2020
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This is the figure

Guest Apr 28, 2020
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PAB is similar to PDC by AA. The ratio of sides AB:DC is 1:3. That means the ratio of the areas must be 1:9.

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Call the area of PAB $$x$$.

- The area of PDC is obviously $$x+224$$

Since the ratio is 1:9, then we have the following proportion.

- $$\frac{x}{x+224}=\frac{1}{9}$$

$$x$$ is the area of PAB. I leave the rest of the question up to you.

Apr 28, 2020