Q. 34.0( 2 Votes )
More elaborated diagram is as shown below:
Area of quadrilateral = area(ABC) + area(ACD) …..(1)
Triangle ABC is a right triangle.
Therefore, area(ABC) =
Also, using Pythagoras theorem, we have:
Now we find that all sides of triangle ACD are equal.
i.e. AC = CD = AD = 20 cm
Therefore, triangle ACD is an equilateral triangle.
Area of equilateral triangle ACD =
= 173.2 sq. cm
Therefore, from (1), we get:
Area of quadrilateral = area(ABC) + area(ACD)
= 96 sq. cm+ 173.2 sq. cm
= 269.2 sq. cm
Hence, area of the quadrilateral is 269.2 square centimetres.
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