Question

Shiva want to buy a Trapezium shaped field its side along the river panel and towards the site along the road if the area of the field is 10500 square and perpendicular distance between two parallel side is hundred metre find the length of the side along the road​

Answer 1

Answer:

Area of the field=10500m^210500m  

2

 

=\frac{1}{2}\times\left(sum\ of\ parallel\ sides\right)\times dis\tan ce\ between\ them  

2

1

​  

×(sum of parallel sides)×distance between them

Let one side be along the road be 'x' then,side along the river is '2x' cm.

Area=\frac{1}{2}\times\left(x+2x\right)\times100\ m  

2

1

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×(x+2x)×100 m

10500=\frac{1}{2}\times3x\times100  

2

1

​  

×3x×100

10500=150x

x=70 m

length of side along the road=70m

length of side along the river=2\times70=140\ m2×70=140 m

Step-by-step explanation: