High School Math : Parallelograms

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #181 : Geometry

Find the area of the following parallelogram:

18

Possible Answers:

\(\displaystyle 800\ m^2\)

\(\displaystyle 770\ m^2\)

 

 

\(\displaystyle 780\ m^2\)

\(\displaystyle 790\ m^2\)

\(\displaystyle 760\ m^2\)

Correct answer:

\(\displaystyle 760\ m^2\)

Explanation:

The formula for the area of a parallelogram is

\(\displaystyle A = (base)(height)\).

Use the formula for a \(\displaystyle 45-45-90\) triangle to find the length of the height:

\(\displaystyle a-a-a\sqrt{2}\)

\(\displaystyle 4\ m-4\ m-4\sqrt{2}\ m\)

Plugging in our values, we get:

\(\displaystyle A = (19\ m)(4\ m)\)

\(\displaystyle A = 760\ m^2\)

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