Question

area of trapezium is 4875 CM square and one of whose parallel sides is 3.02 metre in length if the distance between the parallel sides is 25 cm find the other parallel side​

Answer 1

Given:

The area of trapezium is 4875 cm²

One of whose parallel sides is 3.02 metre in length

The distance between the parallel sides is 25 cm

To find:

The other parallel side​

Solution:

We know the formula of the area of trapezium is as follows:

$\boxed{\bold{Area \:of \:trapezium = \frac{1}{2} \times (sum\:of \:parallel\:sides)\times (height)}}$

Let's assume the other parallel side be "x".

Area of trapezium is = 4875 cm²

One of the parallel side of the given trapezium = 3.02 m = 3.02 × 100 = 302 cm

The height of the trapezium = 25 cm

Now, by substituting the given values in the formula of area of a trapezium, we get

$4875 = \frac{1}{2} \times (302+x)\times 25$

$\implies (302+x) = \frac{4875\times 2}{25}$

$\implies (302+x) = 390$

$\implies x = 390 - 302$

$\implies \bold{x = 88}$

Thus, the other parallel side of the trapezium is → 88 cm.

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