Question

the area of trapezium is 248 square metre and its height is 8 M if one of the parallel side is smaller than the other by 4 m find two parallel sides

Answer 1

Let first parallel side be x
So according to given Condition, second parallel side = x - 4

We know that area =
$\frac{1}{2} \times (b1 + b2) \times h$
where b1 and b2 are parallel sides.

So we have
$\frac{1}{2} (x + x - 4) \times 8 = 248 \\ = > (2x - 4) \times 4 = 248 \\ = > 2x - 4 = 248 \div 4 \\ = > 2x - 4 = 62 \\ = > 2x = 62 + 4 \\ = > 2x = 66 \\ = > x = 66 \div 2 \\ = > x = 33$
so first parallel side is 33

second = x - 4 = 33 - 4 = 29


Hope it helps dear friend ☺️✌️

Answer 2

The bigger side is of 29 m
While the shorter side is of 25 m