"Question 1 In the given figure, ABCD is parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
Class 9 - Math - Areas of Parallelograms and Triangles Page 159"
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Answered by
80
Given,
AB = CD = 16 cm (Opposite sides of a
parallelogram)
CF = 10 cm and AE = 8 cm
We know that,
Area of parallelogram = Base × Altitude
Area of parallelogram ABCD= DC× AE
= 16×8= 128 cm²
[AB=DC(opposite sides of a parallelogram are equal]
Area of area of parallelogram ABCD= AD× CF
128= AD×10
AD = 128/10 cm
AD = 12.8 cm
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43
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