Chapter 1.2, Problem 36E

To determine

To write and solve a equation according to the given statement

Answer to Problem 36E

The length of the deep end is 12 ft

Explanation of Solution

Given:

  

Total area of the swimming pool = 210 square ft

From the figure: Length of pool = ( d + 9) ft and Width of the pool = 10 ft

Formula Used:

Area of the rectangle = Length × Width

Calculation:

Now, according to the statements,

  $\begin{array}{l}\Rightarrow (d+9)\times 10=210\\ \Rightarrow d+9=21\\ \Rightarrow d=21-9\\ \Rightarrow d=12\end{array}$

Conclusion:

Hence, the length of the deep end of the pool is 12 ft.