Quantitative Aptitude Ques 1627

Question: The diagonal of a quadrilateral shaped field is 24 m and the perpendicular dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is

Options:

A) $ 252m^{2} $

B) $ 156m^{2} $

C) $ 96m^{2} $

D) $ 1152m^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Area of the field = Area of $ \Delta ABD $ + Area of $ \Delta BDC $ $ =\frac{1}{2}\times 24\times 8+\frac{1}{2}\times 24\times 13 $ $ =\frac{1}{2}\times 24\times (8+13) $ $ =12\times 21=252m^{2} $
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