Question

the area of a Trapezium is 248 m square and its height is 8 metres if one of the parallel sides is smaller than the other by 4 find its two parallel sides

Answer 1

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Answer 2

Answer:

The smaller side is 29 m and the longer side is 33 m

Step-by-step explanation:

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

We are given that the area is 248 sq.m.

Height = 8 m

One of the parallel sides is smaller than the other by 4

Let the longer side be x

Smaller side = x-4

Now substitute the values in the formula:

$248=\frac{1}{2} \times(x+x-4)\times 8$

$248 \times 2 =(2x-4)\times 8$

$\frac{248 \times 2}{8} =2x-4$

$62 =2x-4$

$62+4 =2x$

$66=2x$

$33=x$

So the longer side is 33 m

Smaller side = x-4 = 33-4 = 29 m

Hence the smaller side is 29 m and the longer side is 33 m