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anonymous
 one year ago
Can someone check over my work please?
The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square.
Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points)
Part B: What is the width of the land in meters? Show the steps of your work. (5 points)
anonymous
 one year ago
Can someone check over my work please? The area of a rectangular piece of land is 280 square meters. If the length of the land was 5 meters less and the width was 1 meter more, the shape of the land would be a square. Part A: Write an equation to find the width (x) of the land. Show the steps of your work. (5 points) Part B: What is the width of the land in meters? Show the steps of your work. (5 points)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here is my work: Part A: xy=A xy=280 x+1=y5 x= y6 Part B: (y6)(y)=280 y^26y=280 y^26y280=0 (y+14)(y20) The width of the land is 20 meters.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0have you thought about using "l" and "w" instead of "x" and "y" 'cos you may have got them the wrong way round.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so length would be: l5 and width would be: w+1 so does that mean I would have to set l5=w+1?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont think they're asking me to solve for x for part A, just to give them an equation...

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2I think I understand..

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2A rectangular area is usually denoted with 'L' for length and 'W' for width , since it is a rectangle L and W are not equal Of course! but the statement then says that if the rectangular area is to be a square under two conditions , That is: i) L5 ii) W +1 Right ? . So if we think about the square part , all sides are the same . since that is true we can use another variable , lets call it 'X' and we know the area of a square is x*x = Area

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so that would be my answer to part A? x= 280/(x+5)?

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2Do you understand what I did ??

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2x*x = area of a square however we were given a rectangle but they told us that if one side is L 5 and the other side W+1 would make that rectangular into a sqaure so I said , why not use the the area of the square equation X = L5 and X = W +1 < This should totally make sense , right ?

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2area of a rectangle is L*W = area let L = X+5 so (x+5)*W = area finally W = area/(x+5)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i understand that!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is there something else i need to do for part a then?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0@matenrouyes i am sorry if i have added to any confusion i was merely suggesting that you may have forgotten what x and y stand for when you started out, did x stand for length or width. i'd say the latter. so when you conclude rightly that y = 20 are you not concluding that length = 20 ?! that was the only point i was making and that was why i also suggested using more descriptive variable names

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0so i paste your entire post into a text editor, i switch w for x and l for y and i get this: Part A: wl=A wl=280 w+1=l5 w= l6 Part B: (l6)(l)=280 l^26l=280 l^26l280=0 (l+14)(l20) see my point?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0cool apart from that, it's excellent

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you!! do you mind staying while i work it out to check it again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK: so i think that for part a i had to find the equation of L, so this is what i did Part A: L5=w+1 L= w+6 and then for part b, i would plug in what i got for A to get the width (w+6)(w)=280 and when i solve it i get 20, and 14, and obviously you cant have negative meters so the width is 14?? @IrishBoy123

Mrhoola
 one year ago
Best ResponseYou've already chosen the best response.2oops sorry for the wrong answer . (u_u)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0yes adding in a few of the details that an instructor might wish to see and that you already included above: \((w+6)w=280\) \(w^2 + 6w 280 = 0\) \((w+20)(w14) = 0\) \(w = 14\) or \(w = 20\) so \(w = 14\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but can you agree that what i put for part A is correct?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0ok i'd stick with what you did originally a part from the fact you forgot what x and y were representing so i pasted your work into a proessors and switched for w ad l and i got this: Part A: wl=A wl=280 w+1=l5 w= l6 that is what you originally wrote and i think it's great because it: 1) connects W and L in terms of the 280 area; and 2) connects W and L in terms of how they might be equal/ form a square

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0IOW, go with your original answer, just don't mix up width and length

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright, thank you both so much! now can you tell me how to give you metals? lol

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0go up to a post by @Mrhoola and click Best Response

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okie dokie!! Thank you both <3
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