V = lwh
24 = 3w(w+2)
Multiply.
24 = 3w^2 + 6w
Put all terms on one side of the equation.
3w^2 + 6w -24 = 0
Factor.
(3w-12)(w+6) = 0
Solve for w and w+2.
Factoring to solve quadratic equations: Use the Zero-Product Property to solve each equation. Write your solution in roster form:
The volume of a storage tub shaped like a rectangular prism is 24 ft^3. The height of the tub is 3 feet. The width is w feet and the length is w+2ft. Use the formula V +lwh to find the value of w.
Please solve and explain. Thanks.
2 answers
4, -2