PYQ - Determine the area of the quadrilateral — task. Maths TNSB Mentoring, Class 10 Crash course.

Find the area of the quadrilateral formed by points \((8, 2)\), \((5, 11)\), \((-5, 12)\) and \((-4, 5)\).

Answer:

Formula to find the area of the quadrilateral:

Area = \frac{1}{2} [(x_{i} y_{i} + x_{2} y_{3} + x_{3} y_{4} + x_{i} y_{i}) - (x_{2} y_{1} + x_{i} y_{i} + x_{i} y_{i} + x_{1} y_{4})]

Area of the quadrilateral \(=\) sq. units

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9. PYQ - Determine the area of the quadrilateral