Eric H. answered • 04/03/21
Tutor
New to Wyzant
Math student - love helping other students
Jose G.
asked • 04/03/21The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40 square feet, find the length and width of the garden.
The length of the rectangular garden is 3 feet longer than the width. If the garden area is 40 square feet, find the length and width of the garden.
More
2 Answers By Expert Tutors
Raymond B. answered • 04/03/21
Tutor
5
(2)
Math, microeconomics or criminal justice
Area =A = LW = 40
L=W+3
A=LW = (W+3)W = W^2 + 3W = 40
W^2 +3W = 40 complete the square
take half of 3 and square it: (3/2)^2 = 9/4. add it to both sides
W^2 + 3W + 9/4 = 40 + 9/4 = 169/4
(W-+3/2)^2 = 169/4
W +3/2 = 13/2
W = -3/2 + 13/2 = 10/2 = 5 feet wide
L=W+3 = 5+3 = 8 feet long
dimensions are 8 by 5 feet
8x5 = 40
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Esther O.
Why did you add the 9/4. Where did that come from?06/24/21