Question

Find the value of x.
The polygons are similar, but not necessarily drawn to scale.

Answer 1

`(12)/(40) = (3)/(x)`

Cross multiply:

`12x = 3 * 40`

Evaluate RHS:

`12x = 120`

Divide both sides by 12:

`x = 10`

Answer 2

`x=10 units`

Explanation:

Given: The polygons ABCD and JKLM are similar.

To find: The value of x.

Solution: Since, the given polygons are similar, therefore using the similarity condition, we have

`(AD)/(JM)=(CD)/(LM)`

Substituting the given values, we get

`(12)/(40)=(3)/(x)`

On cross multiplying, we get

`(3*40)/(12)=x`

`x=10 units`

Therefore, the value of x is 10 units.