Find the area of the rectangle if you know that its length is 32 cm and the perimeter is 92 cm.

Let’s find the width of the given rectangle.

Let us denote it by x.

According to the condition of the problem, the length of this rectangle is 32 cm, and the perimeter of this rectangle is 92 cm, therefore, we can draw up the following equation:

2 * (32 + x) = 92.

We solve the resulting equation and find the width of this rectangle:

32 + x = 92/2;

32 + x = 46;

x = 46 – 32;

x = 14 cm.

Knowing the length and width of a given rectangle, we find its area S, as the product of the length and width of this rectangle:

S = 32 * 14 = 448 cm².

Answer: the area of this rectangle is 448 cm².