Question

PQRS is a parallelogram. QM is the perpendicular from Q to SR and QN is the perpendicular from Q to PS. If SR = 12cm and QM =6cm, find the area of a parallelogram PQRS. Also find QN if PS = 4cm

Answer 1

★$\huge\bf{\blue{\underline{Question:-}}}$

PQRS is a parallelogram. QM is the perpendicular from Q to SR and QN is the perpendicular from Q to PS. If SR = 12cm and QM =6cm, find the area of a parallelogram PQRS. Also find QN if PS = 4cm

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★$\huge\bf{\red{\underline{Answer:-}}}$

Refer the attachment

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★$\huge\bf{\green{\underline{Explanation:-}}}$

Given: SR=12cm, QM=7.6cm, PS=8cm.

Area of parallelogram=base×height

=12×7.6=91.2cm2.

Area of parallelogram=base×height

⇒91.2=8×QN

⇒QN=891.2=11.4cm.

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Answer 2

$\huge\tt \pink {answer}$

Given: SR=12cm, QM=7.6cm, PS=8cm.

Area of parallelogram=base×height

=12×7.6=91.2cm2.

Area of parallelogram=base×height

⇒91.2=8×QN

⇒QN=891.2=11.4cm.

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