Analytical Geometry> A field is in the shape of a trapezium wh...

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

Vignesh , 5 Years ago

Grade 9

1 Answers

Rajat

Last Activity: 5 Years ago

Let ABCD be the trapezium. And AB= 10 CD=25 BC=13 AD=14.

Let AE and BF be perpendicular on CD, so AE=BF

Triangle ADE, BCF are right angled.

AB=EF=10. Let CF = X so, DE = 15-X

By Pythagoras Theorem 14²+(X-15)²= 13²+(X)²

so X comes out to be 252/30= 8.4

So, AE= BF = √(13²-8.4²) = 9.92

So area of trapezium = 1/2(10+25)(9.92)= 173.6

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Analytical Geometry> A field is in the shape of a trapezium wh...

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

Vignesh , 5 Years ago

Rajat

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