Question

The difference between the two parallel sides of a trapezium is $8m$. The perpendicular distance between them is $24m$. If the area of the trapezium is $312m^2$, then what are the lengths of the two parallel sides?

• A. $17m$
• B. $18m$
• C. $19m$
• D. $16m$

Answer 1

The correct option is A $17m$

Let $x$ and $x+8$ be the two parallel sides of the trapezium.

Area of a trapezium $=\frac{1}{2}\times \text{Sum of parallel sides}\times \text{height}$

$=>\frac{1}{2}\times (x+x+8)\times 24m=312m^2$

$=>\frac{1}{2}\times (2x+8)\times 24=312$

$=>2x+8=26$

$=>a=9$

Hence, the lengths of the parallel sides of the trapezium are $x=9m$ and $x+8=17m$