The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.

Explanation

To find the area of a triangle with sides in the ratio 4:5:3 and a perimeter of 96 cm, we can follow these steps:

### Step 1: Determine the lengths of the sides
Given the ratio of the sides is 4:5:3, we can express the sides in terms of a variable \( k \):
- Let the sides be \( 4k \), \( 5k \), and \( 3k \).

### Step 2: Calculate the value of \( k \)
The perimeter of the triangle is given as 96 cm. The perimeter is the sum of all sides:
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