The length of a rectangular garden is 20 feet longer than its width. If the area of the garden is 125 square feet, what are the dimensions of the garden?

A) First, write a quadratic equation in the from $\displaystyle {a}{w}^{{2}}+{b}{w}+{c}={0}$ you can solve to answer the question given. Let $\displaystyle {w}$ be the width of the garden.

Answer: The equation is .
Use the variable $\displaystyle {w}$.
Preview Question 6 Part 1 of 4  

B) Factor your equation from part [a] into the form $\displaystyle {\left({w}+{A}\right)}{\left({w}-{B}\right)}={0}$ and enter the full factored equation below.

Answer: The factored equation is
Don't forget to include the right hand side of the equation and to use the correct variable.
Preview Question 6 Part 2 of 4  

C)Use your factored equation to find the length and width of the garden.

Length = feet.

Width = feet.

w(w+20) = 125