area of trapezium 270distance between parallel side is 20 cm ratio of parallel side is 4:2 find side
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Area = 270
Distance between parallel lines = Height = 20
Ratio of sides = 4:2.
Let one side be 4x and other side be 2x.
Area = 1/2 × ( Sum of lengths of parallel sides ) × Height.
By substituting the above values,
270 = 1/2 × ( 4x + 2x ) × 20
270 = 20/2 × ( 6x)
270 = 10 × 6x
6x = 270 ÷ 10
6x = 27
x = 27 ÷ 6
x = 9/2
x = 4.5
So, sides are 4x = 4 × 4.5 = 18 cm
Sides are 2x = 2× 4.5 = 9 cm
Hope it helps !! ;-)
Distance between parallel lines = Height = 20
Ratio of sides = 4:2.
Let one side be 4x and other side be 2x.
Area = 1/2 × ( Sum of lengths of parallel sides ) × Height.
By substituting the above values,
270 = 1/2 × ( 4x + 2x ) × 20
270 = 20/2 × ( 6x)
270 = 10 × 6x
6x = 270 ÷ 10
6x = 27
x = 27 ÷ 6
x = 9/2
x = 4.5
So, sides are 4x = 4 × 4.5 = 18 cm
Sides are 2x = 2× 4.5 = 9 cm
Hope it helps !! ;-)
sonika9910:
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