the area of trapezium is 248 square metre and its height is 8 m if one of the parallel side is smaller than the other by 4 m find the parallel sides
rahulverma70:
other smaller parallel line is 29. and parallel line is 33 in a trapezium
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Answered by
64
Area of a trapezium = 1/2 ( a + b) (h) where a and b are the length of the parallel sides and h, the height.
Given area = 248 m², height = 8m and the lengths of the parallel sides differ by 4 cm.
Define x:
Let x be the shorter length of the parallel sides
Form the equation and solve x:
248 = 1/2 ( x + (x +4) ) ( 8)
248 =4(2x + 4)
248 = 8x + 16
8x = 232
x = 29
Find the parallel sides:
one side = x = 29 m
the other side = x + 4 = 29 + 4 = 33 m
Answer: The 2 lengths are 29m and 33m
h is not the height in case of trapezium,it is the distance between the parallel sides
The distance between the two parallel lines is the height of the trapezium.
but the distance between two non parallel line is also height. So you should have used 'the distance between 2 parallel sides' instead of 'height'
not perfect
Answered by
34
take 1 no. x
and 2no. x+4
put value on (a+b)as (x+(x+4)
mine is easier and short
and 2no. x+4
put value on (a+b)as (x+(x+4)
mine is easier and short
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yes right
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