Question

a field is in the shape of trapezium whose parallel sides are 10m25 m the non parallel sides are 14m 13m find the area of Field​

Answer 1

Answer:

196m²

Step-by-step explanation:

we will divide trapezium into two parts :-

A triangle and a parallelogram

we will draw a line parallel to the non-parallel side of triangle which measures 13m,so it will form a parallelogram

Now,

we have a triangle with sides 13,14 and 15

Area of trapezium=area of triangle+area of parallelogram

Now,

area of triangle =

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

$s = a + b + c \div 2$

so, area of triangle:

s=13+14+15/2

s=42/2

s=21

=√(21-13)(21-14)(21-15)

=√21×8×7×6

=3×2×2×7

=84m²(Area of triangle)

height:

area of triangle=84m²

1/2 ×b×h=84

1/2×15×h=84

h=84×2/15

h=168/15

h=11.2

Now,

area of parallelogram

$base \times height$

=b×h

=10×11.2

=112m²

Therefore,area of trapezium field:

=(112+84)m²

=196m²

Answer 2

Answer:

196 square meter

Step-by-step explanation:

area will equal to $\sqrt{s(s-a)(s-b)(s-l+z)} (l+z)/(l-z)$

where $s=\frac{a+b+l-z}{2}$

and a and b are non parallel sides

      l is the longer parallel side and z is the shorter parallel side