Question 133639
The area of triangle is found by using the formula:

A = 1/2 times base times height

The ratio 3:2 becomes 3x:2x

We need to find x BEFORE we can find the length of the base and height in terms of inches.

The area is 108.

We now plug and chug.

108 = 1/2 (3x)(2x)

108 = 1/2(6x^2)

108 = 3x^2

Divide both sides by 3.

108/3 = x^2

36 = x^2

Take square root of both sides.

+ -6 = x

Of course, when dealing with base and height, we are talking about distance.
Distance CANNOT be negative.  So, we REJECT the answer x = -6.

We use x = 6.

Base is 3x.

Base = 3(6)

Base = 18 inches

================

Height is 2x.

Height = 2(6)

Height = 12 inches.

Did you follow?