Question

PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = $12$ cm and QM = $7.6$ cm. Find:

1. the area of the parallelogram PQRS
2. QN, if PS = 8 cm

Answer 1

(a) $\text{Area of parallelogram} = \text{Base }× \text{Height }$
= $SR × QM$
= $7.6 × 12 = 91.2 \;cm^2$

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(b) $\text{Area of parallelogram} = \text{Base }× \text{Height }$
= $PS × QN$
= $91.2 \;cm^2$
$\Rightarrow QN × 8 = 91.2$
$\Rightarrow QN = \frac{91.2}{8}=11.4\;cm$