Answer:
The correct option is B. 172 square inches
Step-by-step explanation:
Side length of the regular pentagon = 10 inches
Area of the regular pentagon is given by :
[tex]Area = \frac{1}{4}(\sqrt{25+10\sqrt{5}})\cdot side^2\\\\\implies Area = \frac{1}{4}(\sqrt{25+10\sqrt{5}})\cdot 10^2\\\\\implies Area = \frac{1}{4}(\sqrt{25+10\sqrt{5}}) \cdot 100\\\\\implies Area =25\times (\sqrt{25+10\sqrt{5}})\\\\\implies Area = 172.04 \:\:inches^2\\\\\bf\implies Area\approx 172 \:\:inches^2[/tex]
Hence, the correct option is B. 172 square inches
