9th Class Mathematics Heron's Formula Question Bank Heron's Formula

  • question_answer
    A floral design on a floor is made up of 16 triangular tiles of sides 26 cm, 20 cm and 10 cm. The tiles are polished at the rate of 20 p per \[c{{m}^{2}}.\] Find the cost of polishing the tiles. \[(Take\sqrt{14}=3.74.)\]

    A) Rs. 195.64          

    B) Rs. 216.52          

    C) Rs. 287.23    

    D) Rs. 325.13

    Correct Answer: C

    Solution :

    Sides of each tile are 26 cm, 20 cm and 10 cm. Semiperimeter s = 28 cm Area of each tile \[=\sqrt{s(s-a)(s-b)(s-c)}\] \[=89.76\,c{{m}^{2}}\] Area of 16 tiles \[=89.76\times 16\,c{{m}^{2}}\] \[=1436.16\,c{{m}^{2}}\] Cost of polishing the tiles at the rate of 20 p per \[c{{m}^{2}}=1436.16\times \]` 0.2 = ` 287.23


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