Question

In the given figure, ABCD is a || gm in which diagonals AC and BD intersect at O. If ar(||gm ABCD) is 52 cm², then the ar(∆OAB) = ?
(a) 26 cm²
(b) 18.5 cm²
(c) 39 cm²
(d) 13 cm²

Answer 1

(d) 13 cm²
The diagonals of a parallelogram divides it into four triangles of equal areas.
∴ Area of ∆OAB = $\frac{1}{4}$ ⨯ ar(||gm ABCD)
⇒ ar(∆OAB) = ​​$\frac{1}{4}$ ⨯​ 52 = 13 cm²


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