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Question
Two adjacent sides of a parallelogram are 20cm and 18cm. If the distance between the larger sides is 9cm, find the area of the parallelogram. Also, find the distance between the shorter sides.
Solution
Area of a parallelogram with base b and height h is A = b x h
∴ Area of a parallelogram with base 20cm and height 9cm is A = 20 x 9 = 180cm2
The height corresponding to the side 18cm = xcm
Area of a parallelogram with base 18cm and height xcm is A = 18 x x
⇒ 20 x 9 = 18 x x
⇒ x = `(20 xx 9)/(18)`
= 10cm.
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