Construct a quadrilateral $P Q R S$ in which $P Q = 4.4 c m, Q R = 4.0 c m, R S = 6.4 c m, S P = 2.8 c m$ and $Q S = 6.6 c m$ . Measure the diagonal $P R$ .

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Solution

$\Rightarrow$ Draw line segment $P Q = 4.4 c m$
$\Rightarrow$ Take $Q$ as center with radius $6.6 c m$ and draw an arc.
$\Rightarrow$ Take $P$ as center with radius $2.8 c m$ and draw an arc, which meets previous arc at point $S$ .
$\Rightarrow$ Take $Q$ as center with radius $4 c m$ and draw an arc.
$\Rightarrow$ Take $S$ as center with radius $6.4 c m$ and draw an arc, which meets previous arc at point $R$ .
$\Rightarrow$ Join $Q R, P R, S R, S P$ and $Q S$ .
$\Rightarrow$ Measure the length of diagonal $P R .$
$\Rightarrow$ We get $P R = 5.9 c m$

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