Chapter 7.1, Problem 4AGP

To determine

To express: The area of a square with sides of length $3x{y}^2$ as a monomial.

Answer to Problem 4AGP

The area of the square is $9x^2{y}^4$ .

Explanation of Solution

Given information:

The length of sides of a square is $3x{y}^2$ .

Calculation:

  $Area=a^2$

(Formula for area of square where a is the side of the square)

  $={\left(3x{y}^2\right)}^2$

(Replace a with $3x{y}^2$ )

  $=\left(3^2{x}^2{y}^4\right)$

(Power of a product)

  $=9x^2{y}^4$

(Simplify)