Question

Match the figures with their areas.

• A. $2c{m}^2$
• B. $10c{m}^2$
• C. $24c{m}^2$

Answer 1

$\text{Area}=\frac{1}{2}\times base\times height$
$\Rightarrow \text{Area}=\frac{1}{2}\times 2\times 2=2c{m}^2$
Area of quadrilateral PQRT
= Area of rectangle PQST + Area of triangle QRS
$\Rightarrow \text{Area}=(4\times 2)+(\frac{1}{2}\times 4\times 1)$
$\text{Area}=8c{m}^2+2c{m}^2=10c{m}^2$
Area of hexagon ABCDEF = 6 × Area of triangle AOB
$\text{Area}=6\times (\frac{1}{2}\times 4\times 2)$
$\Rightarrow \text{Area}=6\times 4c{m}^2=24c{m}^2$