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

Let the length of the rectangle be x cm, then, by condition, its width is x-4 cm.
The perimeter of a rectangle is calculated as the sum of its length and width multiplied by two. P = 2 * (a + b)
2 * (x + x-4) = 76
2 * (2x-4) = 76
4x-8 = 76
4x = 76 + 8
4x = 84
x = 84/4
x = 21
Let’s calculate the width of the rectangle:
1) 21 cm – 4 cm = 17 cm rectangle width.
Let’s calculate the area of the rectangle. The area of a rectangle is calculated as the product of its length and width. S = a * b
2) 21 cm * 17 cm = 357 cm2 area of a rectangle.
Answer: the area of the rectangle is 357 cm2.