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TOPIC: anyone smurf at maths

anyone smurf at maths 4 years 1 month ago #1280780

"an enclosure is in the shape of a rectangle. one side of the enclosure is fenced in by a building. 100m of fencing is available to fence the other 3 sides"
(I)"if the width of the enclosure is x m, find in terms of x, the lenght of the enclosure"
(II)"show that the area of enclosure is given by A = 100x-2x^2"
(III)"Find the value of x that maximes the area of the enclosure"
(IV)"Find the maximum area of the enclosure"

area and volume / differentiation question please help.
I just don't know how to start it tbh
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anyone smurf at maths 4 years 1 month ago #1280782

I would gladly help if I knew/understood any of the terminology :(
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anyone smurf at maths 4 years 1 month ago #1280783

Davidov007 wrote:
I would gladly help if I knew/understood any of the terminology :(
david tried to help me on my maths test and i got half the pass score
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anyone smurf at maths 4 years 1 month ago #1280784

jam wrote:
Davidov007 wrote:
I would gladly help if I knew/understood any of the terminology :(
david tried to help me on my maths test and i got half the pass score
sorry but people that don't understand the formula of an area of a circle can't be helped by anyone :whistle:
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anyone smurf at maths 4 years 1 month ago #1280785

Davidov007 wrote:
I would gladly help if I knew/understood any of the terminology :(

what don't you understand
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anyone smurf at maths 4 years 1 month ago #1280787

MichaeI wrote:
Davidov007 wrote:
I would gladly help if I knew/understood any of the terminology :(

what don't you understand
DM me at Spooky Ace#3797 I'll try to help
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anyone smurf at maths 4 years 1 month ago #1280788

Ask finaly he's a math boy
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anyone smurf at maths 4 years 1 month ago #1280789

Assuming this is in a book can you send me a screenshot of it? It might be easier to understand
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anyone smurf at maths 4 years 1 month ago #1280796

its fine david is 9000iq
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anyone smurf at maths 4 years 1 month ago #1280807

Not a smurf in terminology sorry Michel
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anyone smurf at maths 4 years 1 month ago #1281014

(I)"if the width of the enclosure is x m, find in terms of x, the lenght of the enclosure"

The shape is a rectangle but fencing is required only for 3 sides, 2 widths and 1 length. Question specifies that x m is a width, so we can give length any variable (y etc.) . Fencing is perimeter so it will be / 2x + y = 100 (100 being the avaible number of fencing) / . In terms of x means that you need to put y on its own => y = 100 - 2x

(II)"show that the area of enclosure is given by A = 100x-2x^2"

The area forumla is / Area = width * length ( A = xy ) / . You have an equation from (i), so just fill in the Area equation. A = x(100 - 2x) == 100x - 2x^2

(III)"Find the value of x that maximes the area of the enclosure"
(IV)"Find the maximum area of the enclosure"

You have the basic done from (ii). You need to use calculus to differentiate the area equation and find the maximum, not the minimum!, which can be found in your log/text book.
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Last Edit: 4 years 1 month ago by Studio Banter.
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anyone smurf at maths 4 years 1 month ago #1281063

Studio Banter wrote:
(I)"if the width of the enclosure is x m, find in terms of x, the lenght of the enclosure"

The shape is a rectangle but fencing is required only for 3 sides, 2 widths and 1 length. Question specifies that x m is a width, so we can give length any variable (y etc.) . Fencing is perimeter so it will be / 2x + y = 100 (100 being the avaible number of fencing) / . In terms of x means that you need to put y on its own => y = 100 - 2x

(II)"show that the area of enclosure is given by A = 100x-2x^2"

The area forumla is / Area = width * length ( A = xy ) / . You have an equation from (i), so just fill in the Area equation. A = x(100 - 2x) == 100x - 2x^2

(III)"Find the value of x that maximes the area of the enclosure"
(IV)"Find the maximum area of the enclosure"

You have the basic done from (ii). You need to use calculus to differentiate the area equation and find the maximum, not the minimum!, which can be found in your log/text book.
Not to be a dick but you did just waste your time because he mentioned that he got the help he needed.
Good job with the solving, though.
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