Question

athe area of trapezium is 360cm.the ratio of the parallel sides is 3:1.if the distance between the parallel sides is 30 cm,find the length of the parallel sides​

Answer 1

Answer:

   

OC

AO

​

=  

OD

BO

​

 

⇒      

x−5

3x−19

​

=  

3

x−3

​

 

⇒    3(3x−19)=(x−5)(x−3)

⇒   9x−57=x  

2

−8x+15

⇒    x  

2

−17x+72=0

⇒   (x−8)(x−9)=0

⇒   x−8=0 or x−9=0  

⇒x=8 or x=9

Step-by-step explanation:

Answer 2

Answer:

6 cm and 18 cm

Step-by-step explanation:

Given :-

the area of trapezium is 360cm.the ratio of the parallel sides is 3:1.if the distance between the parallel sides is 30 cm,

To Find :-

Parallel sides

Solution :-

Let,

Parallel sides = 3x and x

Area of trapezium = ½(a + b) × h

360 = ½ × (x + 3x) × 30

360 = 15(4x)

360/15 = 4x

24 = 4x

24/4 = x

6 = x

Parallel sides are

x = 6 cm

3x = 3(6) = 18 cm