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Question

A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.


A
3 cm
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B
6 cm
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C
9 cm
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D
12 cm
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Solution

The correct option is D $$6 \ cm$$
Adjacent sides of parallelogram $$= 12\ cm$$ and $$9\ cm$$
Distance between shorter sides $$= 8\ cm$$

Area of parallelogram = $$b \times h =9 \times 8 =72 \ cm^2$$

Again, area of parallelogram = $$b \times h$$
$$72 =12 \times h$$
$$h= 6 \ cm$$

Therefore, the distance between its longer side $$= 6\ cm.$$

Mathematics

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