The length of a rectangular garden is 20 feet longer than its width. If the area of the garden is 189 square feet, what are the dimensions of the garden? A) First, write a quadratic equation in the from aw² + bw + c = 0 you can solve to answer the question given. Let w be the width of the garden. Answer: The equation is Use the variable w. B) Factor your equation from part [a] into the form (w + A) (w – B) = 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. C)Use your factored equation to find the length and width of the garden. Length = Width = feet. feet.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The length of a rectangular garden is 20 feet longer than its width. If the area of the garden is 189 square
feet, what are the dimensions of the garden?
A) First, write a quadratic equation in the from aw² + bw + c = 0 you can solve to answer the question
given. Let w be the width of the garden.
Answer: The equation is
Use the variable w.
-
B) Factor your equation from part [a] into the form (w + A) (w – B) = 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.
C)Use your factored equation to find the length and width of the garden.
Length
=
Width =
feet.
feet.
Transcribed Image Text:The length of a rectangular garden is 20 feet longer than its width. If the area of the garden is 189 square feet, what are the dimensions of the garden? A) First, write a quadratic equation in the from aw² + bw + c = 0 you can solve to answer the question given. Let w be the width of the garden. Answer: The equation is Use the variable w. - B) Factor your equation from part [a] into the form (w + A) (w – B) = 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. C)Use your factored equation to find the length and width of the garden. Length = Width = feet. feet.
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