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jeka94
4 years ago
10

Find the area of the parallelogram.

Mathematics
1 answer:
vodka [1.7K]4 years ago
4 0

Answer:

  264 ft²

Step-by-step explanation:

The right triangle shown at the right end of the figure has a missing leg that can be found using the Pythagorean theorem. (If you recognize the triangle as a 5-12-13 triangle, you already know its length is 12 ft.)

  a² +b² = c²

  5² + b² = 13²

  b² = 169 -25 = 144

  b = √144 = 12

So, the height of the parallelogram is 12 ft, and its base length is 22 ft. The area is the product of these ...

  A = bh = (22 ft)(12 ft) = 264 ft²

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