Question

Construct a quadrilateral $ABNV$ where $AV=7cm,BA=8cm,BN=10cm,NV=5cm$ and $BV=11cm.$

Then, the perimeter of $\Delta BNV$ is

• A. $26cm$
• B. $24cm$
• C. $28cm$
• D. $22cm$

Answer 1

The correct option is A $26cm$

1. Draw a line segment $BV=11cm$.

2. With $10cm$ as radius, draw an arc from $B$.

3. Similarly, with radius as $5$ cm from $V$, cut the arc just drawn.

4. They will intersect at $N$. Join $BN$ and $VN$.

5. With $7cm$ as radius, draw an arc from $V$. Similarly, with radius as $8cm$ from $B$, cut the arc just drawn.

6. They will intersect at $A$. Join $AB$ and $VA$.

7. $ABNV$ is the required quadrilateral.

Perimeter of $△BNV=BN+NV+BV=10+5+11=26cm$