The perimeter of the rectangle is 96 cm. Find its area if the width is less than the length by 4 cm.

Let x be the value of the length of the rectangle, then since the width is less than the length by 4 centimeters, then the value of the width is: x – 4. The perimeter of the rectangle is equal to the sum of all its sides, and since the rectangle has opposite sides equal, then P = 2 * a + 2 * b … Substituting our values for the perimeter and sides, we get the equation: 76 = 2 * x + 2 * (x – 4), 96 = 2x + 2x – 8, 4x = 96 + 8, 4x = 104, x = 104: 4, x = 26 cm. The length of the rectangle is 26 cm, and the width is: 26 cm – 4 cm = 22 cm. The area of the rectangle is: S = a * b = 22 cm * 26 cm = 572 cm square.