Whether you're a student or a professional, IDNLearn.com has answers for everyone. Ask any question and receive timely, accurate responses from our dedicated community of experts.
Sagot :
Ok so I like to go in steps with these questions- first draw a picture and identify your variables.
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
Answer:
Dimensions of the garden are 24 feet by 8.33 feet.
Step-by-step explanation:
Let the dimensions of the vegetable garden is length = l and width = w foot
Area of the vegetable garden = 200 square feet
Since length of the garden is 1 foot less than the 3 times the width.
l = 3w - 1
Area of the garden = w × l = 200
w(3w - 1) = 200
3w² - w = 200
3w² - w - 200 = 0
By quadratic formula
w = [tex]\frac{1\pm \sqrt{1^{2}+2400}}{6}[/tex]
= [tex]\frac{1\pm \sqrt{2401}}{6}[/tex]
= [tex]\frac{1\pm 49}{6}[/tex]
w = -8 or 8.33 foot
Since dimensions can not be negative therefore, width of the garden will be 8.33 foot
Since l = 3w - 1
= 3×8.33 - 1
= 25 - 1
= 24
Dimensions of the garden are 24 feet by 8.33 feet
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.
