Question

a field is in the form of trapezium its area is 1586 metre square and distance between its parallel sides is 26 one of the parallel sides is 84 find the other​

Answer 1

please check the picture

Answer 2

ANSWER:-

Given:

A field is in the form of trapezium it's area is 1586m² & distance between its parallel sides is 26, one parallel sides is 84m.

To find:

Find the other parallel sides.

Solution:

Let the length of other parallel sides of trape. =xcm.

Length of one parallel sides of trape.=84cm.

Area of trapezium= 1586m²

Distance between parallel sides= 26m

Therefore,

We know that the area of trapezium is;

$= > \frac{1}{2} (sum \: of \: sides) \times distance \: between \: parallel \: sides$

So,

$= > 1586 = \frac{1}{2} (84 + x) \times 26 \\ \\ = >1586 = (84 + x) \times 13 \\ \\ = > 84 + x = \frac{1586}{13} \\ \\ = > 84 + x = 122 \\ \\ = > x = 122 - 84 \\ \\ = > x = 38m$

Hence,

The length of other parallel sides of trapezium is 38m.

Hope it helps ☺️