Question

05.03)Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches. 164.025 square inches 238.95 square inches 351.78 square inches 477.9 square inches

Answer 1

The answer is 477.9

Explanation:

What you're going to do is base x height. Then your going to multiply you're answer to that by how many sides there are. so for this it going to be: 8.1 x 11.8 = 95.58. 95.58 x 5 = 477.9

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Answer 2

The correct answer is 238.95 square inches

Explanation:

Regular Pentagon : A quadrilateral having five sides each of equal length is called regular pentagon.

Side length of pentagon, a = 11.8 inches

`\text{Area of regular pentagon = }(1)/(4)\cdot \sqrt{5\cdot (5+2\cdot √(5))}* a^2\\\\\implies\text{Area = }(1)/(4)\cdot \sqrt{5\cdot (5+2\cdot √(5))}* (11.8)^2\\\\\bf\implies\textbf{Area = }239\textbf{ square inches}`

Hence, The correct answer is 238.95 square inches as it is approximately equal to 239 square inches.