Question

Can you help me solve the problem by multiplying or dividing.

Answer 1

Given:

The width (w) of a rectangular swimming pool is

`w=7x^2`

The area (A) of the pool is

`A=7x^3-42x^2`

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,

`\begin{gathered} A=l* w \\ 7x^3-42x^2=l*7x^2 \\ l=(7x^3-42x^2)/(7x^2) \\ l=(7x^3)/(7x^2)-(42x^2)/(7x^2) \\ l=x-6 \end{gathered}`

Final Answer:

The expression for the length (l) of the pool is,

`l=x-6`