Question

a field is in the shape of trapezium its parallel sides are 25m and 10m and non parallel sides are 14 cm and 13 cm find the area of the field​

Answer 1

Hello!..

Here's ur answer

Area of ||gm+Area of triangle

Area of triangle =

$side \: = \frac{a + b + c}{2}$

$\frac{14 + 13 + 15}{2} = \frac{42}{2} = 21$

Side = 21metre

Area of triangle=

$\sqrt{s(s - a)} ( s - b)( s- c)$

$\sqrt[]{21}( 21 - 14)(21 -1 3)(21 - 15)$

$84 \: {metre}^{2}$

Now,

Height of triangle =

$\frac{1}{2} \times base \times height = 84 {metre}^{2}$

$\frac{1}{2} \times 15 \times h = {84 \: metre}^{2}$

$height \: = 11.2 \: metre$

Now,

Area of ||gm = base * height

$10 \times 11.2 = 112 \: {metre}^{2}$

Total Area

Area of ||gm + Area of triangle

$112 \: {metre}^{2} + 84 \: {metre}^{2}$

$196 \: {metre}^{2}$

Hope this helps