The length of the rectangle is 8 cm and its perimeter is 28 cm. Find the area of the rectangle.

It is known from the condition that the length of the rectangle is 8 cm, and its perimeter is 28 cm. In order to find the area of the rectangle, we find the width of the rectangle.

Let’s remember the formula for finding the perimeter of a rectangle.

P = 2 (a + b), where a and b are the length and width of the rectangle.

Let’s use the variable x to denote the width of the rectangle.

Substitute the known values and solve the equation:

2 (8 + x) = 28;

8 + x = 14;

x = 14 – 8;

x = 6 cm width of the rectangle.

Let’s find the area using the formula:

S = a * b = 6 * 8 = 48 cm2.