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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
 #1
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Where is point P?

 Apr 28, 2020
 #2
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This is the figure

Guest Apr 28, 2020
 #3
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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

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