Find the area of the quadrilateralABCD in which the side AB = 3cm, the diagonal AC = 4cm, AB is perpendicular to AC and the triangle ADC is equilateral. Also find its perimeter.


ABC is right angle triangle so Area of triangle ABC= 12base×height=12×3×4=6 square cmNow ADC is equilateral triangle so, area of ADC=34side2 here side AC= 4 cm so, area of ADC=3442=43 square cmSo area of quadrilateral = Area of ADC+area of ABC=6+43 square cm

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