Open area of a house is in the shape of trapezium with parallel sides in the ration 3:5 . Its area is 50m^2 ( 50 meters square ) and the perpendicular distance between the parallel side is 5m. Find the length of 2 parallel sides of that open area
Give brief explanation and also verify your answer
The value of x should be 4.
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Answer:
Area of the trapezium=50 cm^2
perpendicular=5m
ratio of sides=3:5
let the sides be 3x and 5x
Now area of the trapezium=
1/2 *(sum of parallel sides)*perpendicular
1/2*(3x+5x)*5=50
1/2*8x*5=50
8x=50/5*2/1
8x=20
x=2.5
sides=3*2.5=7.5
5*2.5=12.5
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