The width of the rectangle is 15 cm and its perimeter is 63 cm, find its area.

The solution of the problem:

1. Let’s use the perimeter formula: P = 2 * (a + b);

Let x be the length of the rectangle, then 2 * (x + 15) is the perimeter.

2. Let’s compose and solve the equation:

2 * (x + 15) = 63;

2x + 30 = 63;

2x = 63 – 30;

2x = 33;

x = 33: 2;

x = 16.5 cm.

3. Find the area of the rectangle by the formula S = a * b:

S = 16.5 * 15 = 247.5 cm 2.

Answer: the area of the rectangle is 247.5 cm2.