Find the area of a rectangle if its width is 4 m less than its length and the perimeter is 96 cm.

Let’s immediately clarify that the width is less than 4 m, but 4 cm.

Let the width of our figure be expressed through the variable a.

Then its length can be represented as a + 4.

Since we know that the perimeter of the figure is 96 centimeters, then we write down the equation and find out the size of the figure:

(a + a + 4) * 2 = 96;

2a + 4 = 48;

2a = 44;

a = 22;

22 + 4 = 26.

Let’s determine how many square centimeters the area of our figure will be expressed:

22 * 26 = 572.

Answer: The area is 572 cm2.