Question

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm respectively.If other altitude is 6 cm, find the length of other base.

Answer 1

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$\sf{\underline{\huge{\boxed{\bold{Case\:1}}}}}$

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$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Base = 10cm
• Altitude = 12cm

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Area = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{area = base \times altitude }}}}$

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$: \implies\: \sf{\bold{Area = 10cm \times 12cm}}$

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$: \implies\: \sf{\bold{Area = 120cm^2}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Area of the given parallelogram is 120cm^2

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$\sf{\underline{\huge{\boxed{\bold{Case\:2}}}}}$

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$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Altitude = 6cm
• Area = 120cm^2 ( since the parallelogram is same )

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Base = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{area = base \times altitude }}}}$

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$: \implies\: \sf{\bold{120 = base \times 6cm}}$

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$: \implies\: \sf{\bold{base = \dfrac{120}{6}}}$

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$: \implies\: \sf{\bold{base = 20cm}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Base of the given parallelogram is 20cm