Question

Construct a quadrilateral $PQRS$ where $PQ=4cm,QR=6cm,RS=5cm.PS=5.5cm$ and $PR=7cm$.

Answer 1

1. Draw a line segment $PR=7cm$.

2. With $4cm$ as radius, draw an arc from $P$.

3. Similarly, with radius as $6$ cm from $R$, cut the arc just drawn.

4. They will intersect at $Q$. Join $PQ$ and $QR$.

5. With $5.5cm$ as radius, draw an arc from $P$. Similarly, with radius as $5cm$ from $R$, cut the arc just drawn.

6. They will intersect at $S$. Join $PS$ and $RS$.

7. $PQRS$ is the required quadrilateral.