A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.

Asked by sureshmalepati1967 | 19th Aug, 2014, 06:20: PM

Expert Answer:

So Area of Trapezium= Area of Rectangle + Area of Triangle
Use Heroins Formula to find Area of Triangle with sides 13, 14, 15
s equals fraction numerator 13 plus 14 plus 15 over denominator 2 end fraction equals 21 square root of 21 cross times 8 cross times 7 cross times 6 end root equals 7 cross times 3 cross times 4 equals 84 space s q. space m  A r e a space o f space T r i a n g l e space w i t h space b a s e space 15 space i s space g i v e n space b y 1 half cross times 15 cross times h e i g h t equals 84 h e i g h t equals 56 over 5 m  A r e a space o f space R e c tan g l e equals 56 over 5 cross times 10 equals 112 space s q. m  S o space a r e a space o f space t r a p e z i u m equals 84 plus 112 equals 196 space s q. space m

Answered by Dharma Teja | 19th Aug, 2014, 09:16: PM