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Question: The base and the height of a parallelogram are 18 ft and 8 ft. If both its base and height are decreased by 50%, then calculate its area.


A ) 46 ft2
B ) 86 ft2
C ) 48 ft2
D ) 36 ft2

Steps to derive

1 Base of the parallelogram = 18 ft.

2 Height of the parallelogram = 8 ft

3 Both base and height of the parallelogram are decreased by 50%.

4 The new base of the parallelogram = 18 - 50% of 18.
4 = 18 - 9 = 9 ft

5 The new height of the parallelogram = 8 - 50% of 8.
5 = 8 - 4 = 4 ft.

6 The new area of the parallelogram = base × height.

 [Substitute base = 9 and height = 4.]
7 = 9 × 4 = 36 ft2

8 Area of the parallelogram is 36 ft2 .



Hence the right answer is Option D

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