In the given figure, ABCD is a square and P and Q are the mid points of AB and DC respectively. Find the area of triangle OBP if AD= 6cm and PQ||AD.
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ABCD is a square
AD = 6 cm
Find BP:
AB = AD ( ABCD is a square)
AB = 6 cm
BP = AP = AB ÷ 2 (P is the mid point of AB)
BP = 6 ÷ 2
BP = 3 cm
Find PO:
PQ = AD (Given that PQ//AD)
PQ = 6cm
PO = OQ = PQ ÷ 2 ( O cuts the PQ into 2)
PO= 3 cm
Find the area of triangle OBP:
Area = 1/2 x base x height
Area = 1/2 x 3 x 3
Area = 4.5 cm²
Answer: The area is 4.5 cm²
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