Question

What is the area of the parallelogram shown below?

17
8
units2
9
17
4

Answer 1

135

Step-by-step explanation:

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Answer 2

Answer: 135

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Step-by-step explanation:

The triangle on the left has a = 8 as one of the legs, and c = 17 as the hypotenuse. Use the pythagorean theorem to find the missing side.

`a^2+b^2 = c^2\\\\8^2+b^2 = 17^2\\\\64 + b^2 = 289\\\\b^2 = 289-64\\\\b^2 = 225\\\\b = √(225)\\\\b = 15\\\\`

This is the height of the parallelogram as marked by the dashed line.

The base is 9 units across the bottom. We won't use 8 as the base because it's too short along the top.

area = base*height

area = 9*15

area = 135 square units