# In a rectangle, width is 3: 5 to length. The length of the rectangle is 6 cm longer than the width.

October 14, 2021 | education

| **In a rectangle, width is 3: 5 to length. The length of the rectangle is 6 cm longer than the width. Find the perimeter of the rectangle**

Let’s solve this problem using the equation.

Let the width of the rectangle be 3 * x centimeters, then the length of the rectangle is 5 * x centimeters. We know that the length of the rectangle is 6 centimeters longer than the width. Let’s make the equation:

5 * x – 3 * x = 6;

x * (5 – 3) = 6;

x * 2 = 6;

x = 6: 2;

x = 3 centimeters;

3 * 3 = 9 centimeters – the width of the rectangle;

5 * 3 = 15 centimeters – the length of the rectangle;

2 * (9 + 15) = 2 * 24 = 46 centimeters – the perimeter of the rectangle.

Answer: 46 centimeters.