Question

find the area of ||gm ABCD if the area of shaded region is 12 cm square. ​

Answer 1

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Given :

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• ABCD is a parallelogram

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• Area of shaded part 12cm square

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To Find :

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• Area of parallelogram ABCD

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Solution :

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$\bf △AEB = \frac{1}{2} \times base \times height$

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$\bf \implies {12cm}^{2} = \frac{1}{2} \times 3cm \times h$

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$\bf \implies12 = \frac{3}{2} \times h$

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$\bf \implies h = 12 \times \frac{2}{3}$

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$\bf \implies h = 4 \times 2$

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$\bf \implies h = 8$

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Area of ||gm ABCD = Base × Altitude

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Base = 3cm + 9cm = 12cm

Height = 8cm

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$\bf \implies12cm \times 8cm$

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$\bf \implies {96cm}^{2}$

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Therefore, Area of parallelogram ABCD = 96cm square.