The perimeter of the rectangle is 12 1/4 m and the width is 2 1/8 m. What is the length of the rectangle?

The perimeter of a rectangle (P) is found as the sum of the lengths of all its sides:

P = a + b + a + b = 2a + 2b,

where a is the length, b is the width of the rectangle.

If the perimeter of the rectangle and its width are known, then the length can be calculated using the formula:

2a = P – 2b;

a = (P – 2b) / 2.

Let’s calculate the length of a rectangle, the perimeter of which is P = 12 1/4 m, and the width is b = 2 1/8 m:

a = (12 1/4 – 2 * 2 1/8) / 2;

a = (12 1/4 – 4 4/8) / 2;

a = (12 1/4 – 4 1/4) / 2;

a = 8/2;

a = 4.

We find that the length of the given rectangle is 4 m.

Answer: 4 m.