Chapter 7.3, Problem 3STP

Solve each exercise and enter your answer on the grid provided.

The side of a square measures $2x^2{y}^3.$

What is the area of the square if $x=-2$ and $y=2?$

To determine

To find: The area of the square.

Answer to Problem 3STP

The area of the square is 4096 squares.

Explanation of Solution

Given:

Side = $2x^2{y}^3$

  $\begin{array}{l}\text{Here,}\\ x=-2\text{ and }y=2\end{array}$

Concept used:

The formula to compute the area of the square is:

Area of the square = ${\left(side\right)}^2$

Calculation:

The value of the side could be computed as:

  $\begin{array}{c}\text{Side = }2x^2{y}^3\\ =2{\left(-2\right)}^2{\left(2\right)}^3\\ =2\times 4\times 8\\ =64\end{array}$

Now, the area can be calculated as:

  $\begin{array}{c}\text{Area of the square =}{\left(side\right)}^2\\ ={\left(64\right)}^2\\ =4096\end{array}$

Thus, the area of the square is 4096 squares.

It could be shown in grid as: