Question

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side

along the road. It the area of this field is 10500 m2 and the perpendicular distance between the two

parallel sides is 100 m, find the length of the side along the river.​

Answer 1

AnSwer-:



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Length of side along the road-: 70m

Length of side along the river -: 140m

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Area of trapezium =

A = 1/2 x h x (a + b)

A = Area

H = height

(A+B) = Sum of parallel sides

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Explanation-:

Given,

Area of trapezium field -:

10,500 m^2

Height = Perpendicular distance

between two parallel sides

=100m

Also,

Side along the river is twice the side

along the road.

Let the side along the road = X m

Side along the river -: Twice of x

= 2x

Now ,

Area of trapezium -:

1/2 x height (sum of parallel sides )

10,500 = 1/2 x 100(x + 2x)

10500= (3x) x 50

10,500 = 150 x

150 x = 10,500

X = 10,500/150

X = 70

Therefore ,

Side along the road -: x m = 70m

and

Side along the river-: 2x m -:

2 x 70

140 m

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Length of side along the road-: 70m

Length of side along the river -: 140m

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Answer 2

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