Question

Open area of a house is in the shape of a trapezium with parallel sides in the ratio $3:5$. Its area is $50m^2$ and the perpendicular distance between the parallel sides is $5$ meters. Find the length of two parallel sides of that open area.

Answer 1

Let the parallel sides be $3x$ and $5x$

Area of trap$=\frac{1}{2}\times$Sum of parallel sides$\times h$

So, $50=\frac{1}{2}\times (3x+5x)\times 5$

$\Rightarrow 50=4x\times 5$

$\Rightarrow x=\frac{50}{20}=2.5$

So, the first side$=3x=3\times 2.5=7.5$m

and the second side is $=5x=5\times 2.5=12.5$m