Question

The area of trapezium is 36 cm² and the perpendicular distance between the parallel sides is 8 cm. If the ratio of its parallel sides is 1 : 2, length of its smaller side will be................... *


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Answer 1

Step-by-step explanation:

Let the parallel side = x and 2x

now distance between the parallel side = 8 cm

so

area of trapezium = 1/2× ( sum of parallel side )× height

36 = 1/2× ( x+2x )×8

36 = 1/2×3x×8

36 = 12x

x = 3

now,

length of one side = 3 cm

and another side = 2x

= 2×3 = 6 cm

Answer 2

Step-by-step explanation:

Length of parallel sides=8 cm, 9 cm

Distance between parallel sides=6 cm

Area =

2

1

(distance between parallel sides)× (sum of parallel sides)

=

2

1

×6×(8+9)

=3×17=51

hiii ☺️