Question

the area of a trapezium is 90cm ² . If one parallel line is 6 cm longer than the other and the distance between them is 6 cm , find the lengths of the parallel sides.​

Answer 1

Answer:

12cm and 18cm

Step-by-step explanation:

given :-

area of trapezium= 90cm²

distance between parallel lines( height) = 6cm

one line is 6cm more than other.

Let the smaller line be 'x'

then,

longer line will be= x+6

we know that,

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

90cm²= [1/2*{x+x+6}*6]

90= 1/2 * 2x+6 * 6

90/6*2= 2x+6

30= 2x+6

30-6= 2x

24=2x

x= 24/2

x=12

hence, first side(smaller) =x=12cm

second side(larger)=x+6=18cm

now, we can say,

the sides are 12cm and 18cm

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