[tex]\huge\fcolorbox{black}{lime}(Question:[/tex]
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 105002m and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
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Solution :-
Let the parallel sides of the trapezium-shaped field be ′ x ′m and ′2x′ m.
Let a=x and b=2x and h=100m
Then, its area=
1/2×(a +b)× h m^2 = 1/2× ( x + 2x)× 100 ×m^2 = 50× 3 m^2 = 150x m^2
But it is given that
the area of the field is =
∴150x = 10500
[tex]
⇒x=10500/150 =70
∴ The length of the side along the river is =
2×70 = 140m.
Your answer is 140 m .
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