Question

The area of a trapezium is $28c{m}^2$ and one of its parallel sides $6$cm. If its altitude is $4$cm then its other parallel side is

• A. $8$ cm
• B. $4$ cm
• C. $6$ cm
• D. none of these

Answer 1

The correct option is A $8$ cm

Area of trapezium = $\frac{1}{2}\times \left(sumofparallelsides\right)\times altitude$

Let other parallel side be $x$ cm.

Then,

$\frac{1}{2}(x+6)\times 4=28$

$\Rightarrow 2(x+6)=28$

$\Rightarrow x=14-6$

$\Rightarrow x=8cm$