Q. 84.3( 190 Votes )

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

Given: Perpendicular distance(h) = 100 m

Area of the trapezium shaped field

= 10500 m^{2}

Let side along the road be x m then, side along the river = 2 x m

Area of the trapezium field

= 1/2× (sum of parallel sides)h

⇒ 10500 = 1/2 × (x + 2x) × 100

⇒ 10500 = 1/2 × 3x × 100

⇒x == 70m

Hence the side along the river = 2x

= 2 × 70 = 140 m.

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