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Standard VIII

Mathematics

Identifying Shapes and Areas of Different Regular Figures

PQRS is a par...

Question

$P Q R S$ is a parallelogram with altitude $P M$ on base $S R$ and $S N$ is the altitude on base $Q R .$ If $S R = 8.2 c m, P M = 4.8 c m$ and $S N = 6 c m .$ What is $P S$ ?

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Solution

Given:
$S R = 8.2 c m$
$P M = 4. c m$
$S N = 6 c m$

Let us denote area of parallelogram $P Q R S$ by $A .$

By considering base $S R$ and altitude $P M,$
$A = P M \times S R$
$= 8.2 \times 4.8$
$= 39.36 c m^{2}$

Now, by considering base $Q R$ and altitude $S N,$
$A = S N \times Q R$
$\Rightarrow 39.36 = 6 \times Q R$
$\Rightarrow Q R = 6.56 c m$

As we know that the opposite sides of a parallelogram are equal so,
$Q R = P S = 6.56 c m$

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PQRS is a parallelogram with altitude PM on base SR and SN is the altitude on base QR. If SR=8.2 cm, PM=4.8 cm and SN=6 cm. What is PS?

$P Q R S$ is a parallelogram with altitude $P M$ on base $S R$ and $S N$ is the altitude on base $Q R .$ If $S R = 8.2 c m, P M = 4.8 c m$ and $S N = 6 c m .$ What is $P S$ ?