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Easy

Question

Sheela 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 10500m2 and the perpendicular distance between the two parallel sides is 100m , find the length of the side along the river.

hintHint:

Given the shape of the field is trapezium . The side along the river is parallel
to twice the side along the road .Height of trapezium is given ; condition between
parallel sides is given  and area of trapezium is given .
Substitute all of them in the area of trapezium formula to find the length of sides.

The correct answer is: 140 m


    Ans :-  140 m
    Explanation :-  Given the shape of the field is trapezium . The side along the river is
    parallel to twice the side along the road .
    Let the length of side along road  be x then length of side along river = 2x
    Then lengths of parallel sides be x and 2 x ; height = 100 m (given)
    Area of trapezium field =10,500 m2.
    text  Area of trapezium  end text equals 1 half left parenthesis text  height  end text right parenthesis left parenthesis text  sum of lengths of parallel sides  end text right parenthesis
    10 comma 500 equals 1 half left parenthesis 100 right parenthesis left parenthesis x plus 2 x right parenthesis not stretchy rightwards double arrow 105 cross times 2 equals left parenthesis 3 x right parenthesis not stretchy rightwards double arrow 3 x equals 210
    not stretchy rightwards double arrow x equals 70 m
    The length of side along river = 2x = 2 × 70 = 140 m
    Therefore, the length of the side along the river is 140 m.

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