Question

The areas of figure 1 (in $c{m}^2$​) and figure 2 (in $c{m}^2$​) are __ and __ respectively.

• A. $21c{m}^2$, $21c{m}^2$
• B. $11c{m}^2$, $10c{m}^2$
• C. $41c{m}^2$, $41c{m}^2$
• D. $31c{m}^2$, $35c{m}^2$

Answer 1

The correct option is A $21c{m}^2$, $21c{m}^2$

$Areaoftrapezium=\frac{1}{2}h(a+b)$
(where a and b are the parallel sides and h is the perpendicular distance between them)

= $\frac{1}{2}$ $\times$ (8 + 6) $\times$ 3

= 7 x 3
= 21 $c{m}^2$

$Areaoftriangle=\frac{1}{2}\times b\times h$
(where b is the base and h is the corresponding height)

$=\frac{1}{2}\times 14\times 3=21c{m}^2$