The perimeter of the rectangle is 76 cm, find its area if the width is less than the length by 4 cm.

1. Let the width of the rectangle be y, then the length is 4 + y. According to the perimeter formula 2a + 2b = P, where a and b are the length and width of a rectangle with a perimeter P, we compose the equation:
2 * y + 2 * (4 + y) = 76,
2y + 8 + 2y = 76,
4y = 76 – 8,
y = 66/4,
y = 16.5 cm.
2. Find the length of the rectangle:
4 + 16.5 = 20.5 cm.
3. Find the area of the rectangle by multiplying its length by width:
Area = 20.5 * 16.5 = 338.25 cm2.
Answer: the area of the rectangle is 338.25 cm2.