Q9 of 99 Page 269

The area of field shaped in trapezium is 1400 sq. dcm. If the perpendicular distance between two parallel sides are 20 dcm and the length of two parallel sides are in the ratio 3 : 4, then let us write by calculating the lengths of two sides.

Given, The area of field shaped in trapezium is 1400 sq. dcm and the perpendicular distance between two parallel sides are 20 dcm and the length of two parallel sides are in the ratio 3 : 4

Formula used:


Area of a Trapezium = × sum of parallel sides × distance between two parallel sides


If the length of two parallel sides are in the ratio 3 : 4. Let length of one side is 3x and the length of the other side is 4x.


By using the formula,


⟹ 1400 = × (3x+4x) × 20


⟹ 1400 = 10×(3x+4x)


⟹ 7x = 140


⟹ x = 20dcm


Hence, length of one side = 3x


= 3×20


= 60 dcm.


And the length of the other side = 4x


= 4×20


= 80 dcm.


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