Determine the area of a rectangle if its perimeter is 22 meters, and its length is 5 meters greater than its width.

We take the width of the rectangle as a meters. Then its length will be (a + 5) meters, and the perimeter of the figure will be (2 * (a + a + 5)) m.

Let’s make the equation:
(a + (a + 5)) * 2 = 22;

4 * a + 10 = 22;
4 * a = 12;
a = 3 m – the width of the rectangle.

We find the length of the figure:
b = a + 5 = 3 + 5 = 8 m.

Determine the area of the rectangle:
S = a * b = 3 * 8 = 24 m².
Answer: the area of a given rectangle is 24 m².