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
Where is point P?
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.
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.
\(x\) is the area of PAB. I leave the rest of the question up to you.