Find the perimeter of the rectangle if the length is 3.6 cm more than the width and 2.2 times

Find the perimeter of the rectangle if the length is 3.6 cm more than the width and 2.2 times the width is less than the length.

1. We take for x (centimeters) the length of the rectangle, for y (centimeters) width rectangle.

2. Let’s compose two equations:

(1) x – y = 3.6;

(2) x / y = 2.2; x = 2.2y;

3. Substitute x = 2.2y in the first equation:

2.2y – y = 3.6;

1.2y = 3.6;

y = 3 centimeters – the width of the rectangle.

4. Substitute y = 3 into the first equation:

x – 3 = 3.6;

x = 6.6 centimeters – the length of the rectangle.

5. Calculate the perimeter of the rectangle (P):

P = 6.6 x 2 + 3 x 2 = 19.2 centimeters.

Answer: The perimeter of the given rectangle is 19.2 centimeters.