The length of the rectangle is three centimeters longer than the width and its perimeter is 22 cm.

The length of the rectangle is three centimeters longer than the width and its perimeter is 22 cm. Find the length and width of the rectangle. System of equations substitution method.

1. Let the length of the rectangle be x cm.

2. Then its width will be equal to y cm.

3. Since the length is 3 cm longer, therefore the first equation will be x – y = 3.

4. Now we express from the first equation x, we get: x = 3 + y.

5. Since the perimeter of the rectangle is 22 cm, therefore the second equation will be

x + x + y + y = 22.

6. Now let’s perform the substitution.

(3 + y) + (3 + y) + y + y = 22;

6 + 4y = 22;

4y = 22 – 6;

4y = 16;

y = 16/4;

y = 4 cm.

7. Now let’s calculate the length of the rectangle.

x = 6 + 3 = 9 cm.