the1beckylivy the1beckylivy

14-09-2016
Mathematics

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ABCDE is a regular pentagon. The apothem is 9.7 cm, and AB = 14.1 cm. Calculate the area of the pentagon. Round the answer to the nearest tenth.

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HomertheGenius HomertheGenius

17-09-2016

ABCDE is a regular pentagon which consists of 5 equal triangles.
Area of the pentagon ABCDE:
A = 5 * 1.41 * 9.7 / 2 = 683.85 / 2 = 341.925 ≈ 341.9 cm²
Answer: The area of the pentagon ABCDE is 341.9 cm².

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