CTET PAPER II 2019 · PYQ · Area of Quadrilateral · medium
The area of a quadrilateral is 227.2 cm² and the length of the perpendiculars from the opposite vertices to a diagonal are 7.2 cm and 8.8 cm. What is the length of the diagonal?
A.26.8 cm
B.28.4 cm✓ Correct
C.30.2 cm
D.32.6 cm
Explanation
Area of quadrilateral = (1/2) × diagonal × (sum of perpendiculars from opposite vertices). So 227.2 = (1/2) × d × (7.2 + 8.8) = (1/2) × d × 16 = 8d. Therefore d = 227.2 / 8 = 28.4 cm.
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