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Baba Shankateswar Samantaray

· started a discussion

· 1 Months ago

why do we need the values of BC and AD when we are given length of both the parallel lines and distance between them.
Can't we directly calculate the area ?

Question:

A field is of trapezium shape whose parallel sides are 20 mtr. and 41 mtr. long,perpendicular distance between them 8 mtr. and other two sides are 10 mtr. and 17 mtr. long. Find the total cost to level the field at the rate of Rs.30 per mtr2.

Options:
A) Rs.7320
B) Rs.8320
C) Rs.6320
D) Rs.9320
Solution:
Ans: (a) 


In \(\triangle\)AEF,

AF = 17 meter

On making triplet, we can conclude that :

FE = 15 meter & AE = 8 meter

Also, In \(\triangle\)BCD,

BC = 10 meter

On making triplet, we can conclude that :

BD = 8 meter

CD = 6 meter

Also, 15 + 6 + 20 = 41 which is satisfying.

Now, Area of trapezium = \(\cfrac{1}{2}\times8\times15+20\times8+\cfrac{1}{2}\times6\times8\)

= 84 + 160 = 244 meter2

Sohil Rajput

· commented

· 1 Months ago

tum bewkoof ho baba ranchod das chanchad

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