The area of field

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.