Question

The area of a trapezium is 48cm2,the distance between parallel sides is 6cm.If one of the parallel sides is 4cm,find the other parallel side.

Answer 1

Hello!!!!

Here's The Answer :

(Given)

Height = 6 cm.
Length of 1st parallel side = 4 cm

=>Area of the Trapezium = 48 cm sq.

=>$\frac 1 2$ × (Sum of parallel sides ) × Height

Let the other parallel side be x .

=>According To Question.

$\frac 1 2$ × ( 4 + x ) × 6 = 48

$\frac 6 2$ × (4 + x )× 6 = 48

3 × ( 4 + x ) = 48

12 + 3x = 48

3x = 48 - 12

3x = 36

x = $\frac {36}{ 3 }$

x = 12

So, the other parallel side is 12 cm.


Hope It Helps!!!

Answer 2

Answer:

Height = 6 cm.

Length of 1st parallel side = 4 cm

=>Area of the Trapezium = 48 cm sq.

=> × (Sum of parallel sides ) × Height

Let the other parallel side be x .

=>According To Question.

× ( 4 + x ) × 6 = 48

× (4 + x )× 6 = 48

3 × ( 4 + x ) = 48

12 + 3x = 48

3x = 48 - 12

3x = 36

x =  

x = 12

So, the other parallel side is 12 cm.