Question

area of trapezium is 850 Square centimetre 64cm for perpendicular distance between parallel sides 17 cm find the length of other parallel side

Answer 1

Hola Mate !!

Here's your answer :-

Let the other parallel side be x.

Now,
$area \: of \: trapezium = 850 \: {cm}^{2} \\ = > \frac{1}{2} \times sum \: of \: parallel \: sides \: \times height = 850 {cm}^{2} \\ = > \frac{1}{2} \times (17 + x) \times 64cm = 850 {cm}^{2} \\ = > \frac{17 + x}{2} = \frac{850 {cm}^{2} }{64cm} \\ = > \frac{17 + x}{2} = 13.27cm \\ = > 17 + x = 13.27 cm\times 2 \\ = > 17 + x = 26.54cm \\ = > x = 26.54 cm- 17 \\ = > x = 9.54cm$
Thus, the length of other parallel side is 9.54cm.

Hope it helps