Question

Area of a trapezium is 160 sq. cm Lengths of parallel sides are in the ratio 1:3.if smaller of the parallel sides is 18 cm in length, then find the perpendicular distance between them​

Answer 1

Answer:

Step-by-step explanation:

Answer=

Given,

Area of trapezium =160 m  

2

 

The ratio of the length of its parallel sides =1:3

Smaller parallel sides =10 cm

∴  Length of greater side =10×3=30 cm

Let the distance between them =h

We know that,  

Area =  

2

1

​

× sum of parallel sides × height  

⇒160=  

2

1

​

(30+10)h

⇒160×2=40h

⇒h=  

40

320

​

=8 cm