Chapter 11.6, Problem 42STP

To determine

To Find: The area of the square Y.

Answer to Problem 42STP

Area of square Y is $36sq.ft$ .

Explanation of Solution

Given information:

The area of the square X is 9 square feet and side of square Y is twice that of square X.

Concept and Formula Used:

Area of square is $={\left(s\right)}^2$

Calculation:

Let the side of square X be $xfeet$

Area of square X is

Area of square X is

  $\begin{array}{l}A={\left(x\right)}^2\\ 9={\left(x\right)}^2\\ x=\sqrt{9}\\ x=3feet\end{array}$

The side of the square Y is twice that of square X is $=2x=6feet$

Area of square Y is $={\left(6\right)}^2=36sq.ft$

Conclusion:

Area of square Y is $36sq.ft$ .