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SSC MTS 2024 PYQ — Question 14

SSC MTS - 01/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q14

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Find the area of the quadrilateral ABCD, the coordinates of whose vertices are A(6, -3), B(-4, -2), C(3, 1) and D(5, 0)?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 21 unit2 .

Area = 1/2​∣x1​y2​ + x2​y3​ + x3​y4 ​+ x4​y1​ − (y1​x2​ + y2​x3​ + y3​x4​ + y4​x1​)∣

Area = 1/2​∣(6⋅(−2) + (−4)⋅1 + 3⋅0 + 5⋅(−3)) - (−3⋅(−4) + (−2)⋅3 + 1⋅5 + 0⋅6)∣

Area = 1/2​∣(−12 − 4 + 0 − 15) - (12 - 6 + 5 + 0)∣

Area = 1/2​∣-31 - 11∣

Area = 1/2 × 42 = 21 unit2