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

Guest Apr 28, 2020

#3**+2 **

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.

AnExtremelyLongName Apr 28, 2020