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A) \( \Large 148 m^{2} \) |

B) \( \Large 108 m^{2} \) |

C) \( \Large 159 m^{2} \) |

D) \( \Large 164 m^{2} \) |

Correct Answer:

B) \( \Large 108 m^{2} \) |

Description for Correct answer:

From triangle ABC

\( \Large AC^{2}=AB^{2}+BC^{2} \)

\( \Large AB^{2}=AC^{2}-BC^{2} \)

=\( \Large 15^{2}-9^{2}= \left(15+9\right) \left(15-9\right) \)

=\( \Large 24 \times 6 = 144 \)

\( \Large AB = \sqrt{144} = 12 mts. \)

Area = \( \Large 12 \times 9 = 108 m^{2} \)

From triangle ABC

\( \Large AC^{2}=AB^{2}+BC^{2} \)

\( \Large AB^{2}=AC^{2}-BC^{2} \)

=\( \Large 15^{2}-9^{2}= \left(15+9\right) \left(15-9\right) \)

=\( \Large 24 \times 6 = 144 \)

\( \Large AB = \sqrt{144} = 12 mts. \)

Area = \( \Large 12 \times 9 = 108 m^{2} \)

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

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