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A Trigonometric Path into the Land of Regular Pentagons - National ...

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Extended Constructed Response<br />

Directions: For problem 14, show all work in <strong>the</strong> space provided. Your work and answers<br />

will be scored on standard 4-point rubric.<br />

14. The Maryland World Trade Center located at <strong>the</strong> Inner Harbor in Baltimore City boasts<br />

about being <strong>the</strong> world’s tallest regular pentagonal building. Each side is 92 yards long.<br />

• Find <strong>the</strong> area <strong>of</strong> <strong>the</strong> ro<strong>of</strong>. (Assume <strong>the</strong> ro<strong>of</strong> is flat). Use ma<strong>the</strong>matics to explain <strong>the</strong><br />

process you used to determine your answer. Use words, symbols, or both in your<br />

explanation.<br />

• To be more energy efficient, <strong>the</strong> engineers want to install solar panels to cover <strong>the</strong><br />

entire ro<strong>of</strong>. How much would it cost to install <strong>the</strong> panels if <strong>the</strong> price is $18 per square<br />

yard? Use ma<strong>the</strong>matics to explain <strong>the</strong> process you used to determine your answer.<br />

Use words, symbols, or both in your explanation.

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