Math, asked by sandhapotshangbam, 5 months ago

Page
C
A field i
is
.
А A
in the shape of
13m
trapézium whose parallel sides
are 25 m and 10m, and nom parallel
sides are 14m and 13m. Find the
AK
area of the field
[Hint: Draw CEIIDA]
25mm​

Answers

Answered by Yashrajgaradade
0

Answer:

Let ABCD be a trapezium with,

AB∥CD

AB=25m

CD=10m

BC=14m

AD=13m

Draw CE∥DA. So, ADCE is a parallelogram with,

CD=AE=10m

CE=AD=13m

BE=AB−AE=25−10=15m

In ΔBCE, the semi perimeter will be,

s=2a+b+c

s=214+13+15

s=21m

Area of ΔBCE,

A=s(s−a)(s−b)(s−c)

=21(21−14)(21−13)(21−15)

=21(7)(8)(6)

=7056

=84m2

Also, area of ΔBCE is,

A=21×base×

Step-by-step explanation:

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