Question

The area of a trapezium is 1586 sq.cm. The distance between it's parallel sides is 26cm if one of the parallel sides is 84cm then, find the other sides

Answer 1

Solution :

$\underline{\bf{Given\::}}}}$

• Area of trapezium = 1586 cm²
• Distance between it's parallel sides = 26 cm
• One parallel side = 84 cm

$\underline{\bf{To\:find\::}}}}$

The other side of trapezium.

$\underline{\bf{Explanation\::}}}}$

Let the other side of trapezium be r cm

We know that formula of the area of trapezium :

$\boxed{\bf{Area\:of\:trapezium=\frac{1}{2} \times (sum\:of\:parallel\:side's)\times height}}}$

A/q

$\longrightarrow\sf{1586=\dfrac{1}{2} \times (84 + r) \times 26 }}\\\\\\\longrightarrow\sf{1586\times 2=2184+26r}\\\\\longrightarrow\sf{3172=2184+26r}\\\\\longrightarrow\sf{26r=3172-2184}\\\\\longrightarrow\sf{26r=988}\\\\\longrightarrow\sf{r=\cancel{988/26}}\\\\\longrightarrow\bf{r=38\:cm}}$

Thus;

The other side of trap. will 38 cm .