The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct answer.
Assertion (A) | Reason (R) |
In the given figure, ABCD is a ‖ gm in which DE ⊥ AB and BF ⊥ AD. If AB = 16cm, DE = 8cm and BF = 10cm, then AD is 12cm. | Area of a ‖gm = base x height. |
Here, let AB be the base of the parallelogram then DE becomes its altitude (height).
Area of the parallelogram is given by: Base × Height
∴ Area of ‖gm ABCD = AB×DE = 16×8 = 128cm2
Now,
Consider AD as base of the parallelogram then BF becomes its altitude (height)
∴ area of ‖gm ABCD = AD × BF = 128cm2
AD × 10 = 128cm2
AD = = 12.8cm
∴length of AD = 12.8cm
∴Assertion is false and Reason is true