Given:
The width (w) of a rectangular swimming pool is
[tex]w=7x^2[/tex]
The area (A) of the pool is
[tex]A=7x^3-42x^2[/tex]
Required:
The expression for the length (l) of the pool.
Answer:
Let us find the expression for the length (l) of the pool.
The area (A) of the rectangular swimming pool is,
[tex]\begin{gathered} A=l\times w \\ 7x^3-42x^2=l\times7x^2 \\ l=\frac{7x^3-42x^2}{7x^2} \\ l=\frac{7x^3}{7x^2}-\frac{42x^2}{7x^2} \\ l=x-6 \end{gathered}[/tex]
Final Answer:
The expression for the length (l) of the pool is,
[tex]l=x-6[/tex]
