You seriously saved me with this. I was stressing out a ton cause I have a test coming up and don't understand this stuff at all but your calm explanation really helped me understand and calmed me down a bit. Thank ya
I have come across a book that provided an amazing shortcut for these questions. It suggested that we imagine creating a square with the given perimeter (2500 yd). Therefore, the side length of the square would be 625. Subsequently, we just need to calculate the area of this square, which is straightforwardly obtained by squaring 625, yielding the identical solution of 390625.
Thank you so much! I was trying to help a friend solve a fencing problem but he was in algebra, so we weren't able to just use calculus. This vid helped a lot!
Thank you! I am so confused, I always get the same dimensions so I thought "wouldn't that make it a square?" and then you explained it very well! Thank you very much
thank you very much for this! I've been figuring how to answer this kind of question on my gen math exam for the past two days 😭 thank you for the clear explanation!!!
thats a most complicated way of doing it. lets say i have a fence 900m long. I divide the length of the fence by 4 which gives me 225m per side. the area inside if joined up into a paddock will be 225 x 225m which gives me a area of 50,625m2 or 5.06ha. Im a metric boy!!!
That is the vertex form of a quadratic function. If you are in standard form, but just want the coordinates of the vertex, you can find x by doing -b/(2a). If you convert from standard form to vertex form, you have to complete the square and that's where it comes from. To find the y coordinate, you just plug in your x value into the equation.
A square is a rectangle with sides of equal length. Definition of a rectangle is a quadrilateral with 4 right angles. A square is just a special case of a rectangle.
Im not disputing the literal definition but most people when they hear rectangle think other than 4 equal sides. The question and drawing certainly leads to imply this.
Most times when drawing a figure from the given information when there is an unknown, the picture is not drawn to scale. To maximize the area of a rectangle, it will always be a square. It's important sometimes to see this from using the formula and solving a system with two unknowns to realize that this is the case. It is done to demonstrate that it works this way, rather than just explicitly stating it.
All squares are rectangles by definition. A rectangle is a quadrilateral with 4 right angles. A square meets that definition. It just happens to be a rectangle with 4 equal sides.
A man has 100 ft of fencing to enclose a rectangular garden in his backyard. Find the dimensions of the garden of largest area he can have uses all of the fencing?
@@MathandStatsHelp do you have any videos about fitting triangle, a right triangle under a parabola with the greatest area possible? I am doing those as well in class
We typically don't look at that, because technically, you could put something really small where no one could even get into it. We tend to look at the maximum, because we want the most out of it.
The definition of a rectangle is a quadrilateral with 4 right angles. A square is a special case of a rectangle with 4 equal sides. All squares are rectangles. Hope that makes sense.
Since -w^2 is a* in standard form, -1 is from -w^2. There is always a number in front of the variable, we just don’t include the 1 because it’s not needed.
Thank you for saving me while im in tears maam
i felt that on a spiritual level
Felt
You seriously saved me with this. I was stressing out a ton cause I have a test coming up and don't understand this stuff at all but your calm explanation really helped me understand and calmed me down a bit. Thank ya
I sat here for like 45 minutes trying to figure a problem similar to this one out.. Thank goodness for this video, thank you so much!!
I have come across a book that provided an amazing shortcut for these questions. It suggested that we imagine creating a square with the given perimeter (2500 yd). Therefore, the side length of the square would be 625. Subsequently, we just need to calculate the area of this square, which is straightforwardly obtained by squaring 625, yielding the identical solution of 390625.
Best math video ever, I missed a class in my algebra 2 class and I have been trying to find out where the 2l and 2w goes into play. Thank you!
wait this is an algebra 1 topic tho
Non-traditional college student here, this video certainly saved me a lot of frustration!
I passed my Quadratics test because of you, Thank you so much!
Thank you so much! I was trying to help a friend solve a fencing problem but he was in algebra, so we weren't able to just use calculus. This vid helped a lot!
Thank you very much! I rarely put comments but I had to do it this time to thank the creator of this video! :)
I'm glad it helped you!
Thank you for this video. Saved my life.
Glad it helped you!
Thank you so much I thought I was gonna die when I saw our assignment but you explained it really well and made it way easier to understand
Idk how you did it, weird math wizard, but you legit have just saved my project grade. Bless you and all you do.
This was so good !! I actually understand it now . thank you !👏
"Okay?"
Jokes aside, this was actually an amazing explanation.
Thank you! I am so confused, I always get the same dimensions so I thought "wouldn't that make it a square?" and then you explained it very well! Thank you very much
Thank you so much for this basically exactly what i needed :)
thank you very much for this! I've been figuring how to answer this kind of question on my gen math exam for the past two days 😭 thank you for the clear explanation!!!
Glad the explanation I gave helped you understand it.
You can also use your a(w) equation to find when the derivative is equal to 0, because that will be the vertex, and then use that as your width value.
Thank you so much! What a life saver
great video - you explained everything really well.
Thank you. Glad it helped
That was extremely helpful, thanks!
Saved me on a quiz thank you very much. Please take my like
very helpful mam keep doing good work
Thank you. Glad it helped
thank you madam so much, you made this chapter so easy for me.
Confusing.
best explanation of this! wish you were my professor
What is your quadratic function
Legit taught me more than my dumb maths teacher did all term
You're so nice thank you sm
thats a most complicated way of doing it.
lets say i have a fence 900m long. I divide the length of the fence by 4 which gives me 225m per side. the area inside if joined up into a paddock will be 225 x 225m which gives me a area of 50,625m2 or 5.06ha. Im a metric boy!!!
Great explanation. What tablet and/or software do you use to write?
I use SmoothDraw4 to write in and the tablet I use is a Monoprice graphics tablet.
@@MathandStatsHelp Thank you!
Miss thank you so much this question was killing me you explained it so well
How did you get the 390,625?
By 625×625
Thank you.
I thought the vertex form was f(x)= a(x-h)2 + k where the vertex is h,k. Where does the -b/2a part come from??
That is the vertex form of a quadratic function. If you are in standard form, but just want the coordinates of the vertex, you can find x by doing -b/(2a). If you convert from standard form to vertex form, you have to complete the square and that's where it comes from. To find the y coordinate, you just plug in your x value into the equation.
Math and Stats Help Alright thank you very much I understand it now.
thanks a lot! really helped with my math homework :)
You're welcome
Is the diagram the plan of the model
It also can be used if I want to find the maximum lot area with the given lot perimeter I 48 meters?
Yes, you would use the same method.
Thank you so much ma'am❤I learned a lot ❤
You're welcome!
Splendid! Thanks!
thank you for this video
What type of process is used to find the maximum area of a circle? Is this calculus?
A circle would already be maximized, because you are dealing with the radius squared.
thank you, great explanation
thanks
where did the a term come from in 6:14??
how to find the maximum area for a fence with a perimeter of 1000 meter for a triangle shape
thank you so much
Needs to explain better
If the length and width are the same it's a square not a rectangle. 626L x 624w would be the max rectangle and area
A square is a rectangle with sides of equal length. Definition of a rectangle is a quadrilateral with 4 right angles. A square is just a special case of a rectangle.
Im not disputing the literal definition but most people when they hear rectangle think other than 4 equal sides. The question and drawing certainly leads to imply this.
Most times when drawing a figure from the given information when there is an unknown, the picture is not drawn to scale. To maximize the area of a rectangle, it will always be a square. It's important sometimes to see this from using the formula and solving a system with two unknowns to realize that this is the case. It is done to demonstrate that it works this way, rather than just explicitly stating it.
What if its the same question but it specifies it needs to be a rectangle, not a square?
All squares are rectangles by definition. A rectangle is a quadrilateral with 4 right angles. A square meets that definition. It just happens to be a rectangle with 4 equal sides.
What grade is this from?
It was for my college algebra class that I was teaching at the time.
it was really good super helpul for me
A man has 100 ft of fencing to enclose a
rectangular garden in his backyard. Find the
dimensions of the garden of largest area he
can have uses all of the fencing?
This is more pre calculus right?
I teach them this in my College Algebra class, but yes you will see this in Pre-Calc too.
@@MathandStatsHelp do you have any videos about fitting triangle, a right triangle under a parabola with the greatest area possible? I am doing those as well in class
@@ArcadeMaster sorry I don't have anything like that.
This is helpful
I'd like to ask you : How about what is the minimum area he can enclose? Thanks
We typically don't look at that, because technically, you could put something really small where no one could even get into it. We tend to look at the maximum, because we want the most out of it.
if the length and width are both the same, then how is it a rectangle? shouldn't it be a square?
The definition of a rectangle is a quadrilateral with 4 right angles. A square is a special case of a rectangle with 4 equal sides. All squares are rectangles. Hope that makes sense.
@@MathandStatsHelp
yea that makes sense. Thanks!
Hello I have a kinda similar problem but I am little confused, can anyone help?
Isn't the maximum area of a rectangle always a square?
Yes
wait,,, where did that -1 come from in 6:14 ? somebody help me...
Since -w^2 is a* in standard form, -1 is from -w^2. There is always a number in front of the variable, we just don’t include the 1 because it’s not needed.
Is 390,625 already divided by 625?
Or no need to?
🙏
I was dying in class
Area is a WHAT 😂
I love you
You help'ed me in my activity that is due tomorrow.Thank you
Few now I will not fail i dint pay attention in class like if you think that’s convenient
bruh
sangat tidak berguna sekali terima kasih
bodo
Barua