Mensuration Ques 45
Question
A trapezium with an area of 77 $cm^{2}$ has a height of $7 cm$. If the difference between the lengths of its parallel sides is $4 cm$, find the length of longer side.
(1) $13 cm$
(2) $16 cm$
(3) $19 cm$
(4) $22 cm$
(5) $25 cm$
(IBPS RRBs Officer CWE Prelim Exam, 13.09.2020)
Show Answer
Correct Answer: (1)
Solution: (1)
Let, smaller parallel side $=x $ cm.
$\therefore$ Larger parallel side $=(x+4) cm$.
Area of trapezium $=\frac{1}{2}$ (sum of parallel sides) $\times$ perpendicular distance
$\Rightarrow \frac{1}{2}(x+x+4) \times 7=77$
$\Rightarrow 2 x+4=\frac{77 \times 2}{7}=22$
$\Rightarrow 2 x=22-4=18$
$\Rightarrow x=9 cm$.
$\therefore$ Larger side $=x+4=9+4$ $=13 cm$.
BETA
