The perimeter of a 33 cm long rectangle is 348 cm. Find its width and area.

In order to find the area of a rectangle, we must know the length and width of the rectangle.

S = a * b;

From the condition, we know that the perimeter of the rectangle is 348 cm, and we also know that the length of the rectangle is 33 cm.

We look for the perimeter of the rectangle by the formula:

P = 2 (a + b);

For x we denote the unknown side of the rectangle and solve the equation:

2 (x + 33) = 348;

x + 33 = 348: 2;

x + 33 = 174;

x = 174 – 33;

x = 141 cm.

We just have to find the area:

S = 33 * 141 = 4 653 cm2.

Answer: 4 653 cm2