By condition, it is necessary to find the area of the rectangle.
The area of a rectangle is found as the product of its length and width, that is, according to the formula:
S = a * b,
where S is the area of the rectangle, a is the length of the rectangle, and b is the width of the rectangle.
By condition, the width of the rectangle is 3 cm, and the length is 3 times greater.
If one quantity is n times greater or less than another quantity, then this quantity is equal to the product of another quantity and the number n, then the length of the rectangle is:
a = 3 * b = 3 * 3 = 9 (cm).
Let’s find the area of the rectangle by substituting the data according to the condition and the found values:
S = 9 * 3 = 27 (cm ^ 2).
Answer: the area of the rectangle is 27 cm ^ 2.
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