width W or a rectangular swimming pool is 7x^2. The area of the pool is 7x^3--42x^2. what expression for the length of the pool? please walk me through this.
W * L = 7 x^3 - 42 x^2
7 x^2 * L = 7 x^3 - 42 x^2
L = x - 6
Damon-Thank you very much
The deck around a swimming pool has the same width all the way around. The perimeter of the pool is 50m. The outside perimeter of the deck is 74m. What is the width of the deck
To find the expression for the length of the rectangular swimming pool, we can start by using the formula for the area of a rectangle:
Area = Length × Width
Given that the area of the pool is 7x^3 - 42x^2, and the width is W or 7x^2, we can substitute these values into the formula to solve for the length.
7x^3 - 42x^2 = Length × 7x^2
Now, let's divide both sides of the equation by 7x^2 to isolate the length:
(7x^3 - 42x^2) / (7x^2) = Length
Simplifying the equation:
(x^3 - 6x^2) / x^2 = Length
Since we're dividing by x^2, we can write the expression for the length as:
Length = x^3 / x^2 - 6x^2 / x^2
Now, let's simplify further:
Length = x^(3-2) - 6
Length = x - 6
Therefore, the expression for the length of the rectangular swimming pool is "x - 6".