The area of a trapezium is 540cm square. If the ratio of parallel sides is 7:5 and the distance between them is 18cm, find the lengths of the parallel sides.
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Hi ,
Let a , b are the two parallel sides
of the Trapezium ,
It is given that ,
a : b = 7 : 5
a = 7x ,
b = 5x
Distance between them = h = 18cm
Area ( A ) = 540cm²
[ ( a + b ) h ] /2 = 540
[ ( 7x + 5x ) × 18] /2= 540
( 12x × 9 ) = 540
x = 540 / ( 12 × 9 )
x = 5
Therefore ,
a = 7x = 7 × 5 = 35cm
b = 5x = 5 × 5 = 25cm
I hope this helps you.
:)
Let a , b are the two parallel sides
of the Trapezium ,
It is given that ,
a : b = 7 : 5
a = 7x ,
b = 5x
Distance between them = h = 18cm
Area ( A ) = 540cm²
[ ( a + b ) h ] /2 = 540
[ ( 7x + 5x ) × 18] /2= 540
( 12x × 9 ) = 540
x = 540 / ( 12 × 9 )
x = 5
Therefore ,
a = 7x = 7 × 5 = 35cm
b = 5x = 5 × 5 = 25cm
I hope this helps you.
:)
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