In the figure given below, ABCD is a parallelogram with AB = 6.5 cm, BQ = 6 cm and AD = 4 cm.
Find DP.
D
C С
4 cm
6 cm
A P
B
6.5 cm
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Answer:
Given : ABCD is a parallelogram with AB=6.5cm, BQ=6cm, AD=4cm.
To find : DP
Solution:
ABCD is a parallelogram
Area of parallelogram = Base x height
Base = AB = 6.5 cm
& height =DP
Area = 6.5 x DP cm²
Base = AD = 4 cm
& height =BQ = 6
Area = 4 x 6 cm²
6.5 x DP = 4 x 6
=> DP = 24/6.5
=> DP = 48/13
=> DP = 3.69 cm
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