Question

The expression x^2 is used to calculate the area of a square, where x is the side length of the square. What does the expression (9x)^2 represent?

A) The area of a square with side length 9x.
B) The area of a square with side length 9x^2.
C) The area of a square with side length x^2.
D) The area of a square with side length 81x^2

Answer 1

The expression (9x)2 represents the area of a square with side length 9x.

Step-by-step explanation:

The expression (9x)2 represents the area of a square with side length 9x. This can be understood by breaking down the expression. The number 9 is the side length and x is the variable. When we square the entire expression (9x)^2, we are squaring both the side length and the variable together. In this case, the square of 9x represents the area of a square with side length 9x.