#How do you do C?

54 messages · Page 1 of 1 (latest)

blissful wadi
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stuck on this.

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im very confused

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A) Original area was x^2

New area is x(x+b)=(x^2+3x)

So x^2+xb=x^2+3x so new width is x+3

B) l=x+1, b=x-1
New perimeter is 2(x+1)+2(x-1)=4x so no change in perimeter
But
New area is (x+1)(x-1)=x^2-1
Which is less than og

thsi is answer to A and B as provided by boris

nimble nebula
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In case c we have perimeter is 4x+8

And length l=x+7

So say width w=x-c

Perimeter is 2(x+7)+2(x-c)=4x+14-2c compare this to the given perimeter and you get 14-2c=8 so c=3

So new width is x-3

i) So change made to width is -3
ii) new area is (x-3)(x+7)
iii) If x equals three that width goes to zero so the pen is no longer a rectangle it's just a line and the cute pigs have nowhere to live despair

blissful wadi
gaunt basalt
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x is the original length of the pen

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c is a variable to solve for

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perimeter is l + w + l + w = 2l + 2w

blissful wadi
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Oh ok, but how did you get the perimetre = 4x+8?

gaunt basalt
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because in b, the perimeter is 4x

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and in c it says the perimeter needs to increase by 8

nimble nebula
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Did you get it @blissful wadi

blissful wadi
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yeah I get it

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can you guys help me with 2E as well?

nimble nebula
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You don't need trial and error

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,w 500=2*(20x+x(20+2x))

orchid sailBOT
nimble nebula
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X can't be -25 ofc so 5

blissful wadi
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cause im kinda confused on that

hidden adder
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the big square - 400 (small square)

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now write an equation using x thats equal to 500

blissful wadi
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UM

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im still confused

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wdym?

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big square?

hidden adder
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the purple

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@blissful wadi ^

blissful wadi
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ok yes

blissful wadi
hidden adder
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so whats the side length of the big square

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well a simpler way to think about this is
area of big square - area of small square = area of the shaded

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side length of big square is 20+2x

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can probably see why

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small square has area 400

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so

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,w (20+2x)^2-400=500

hidden adder
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there you go

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this is way better than the other solution :D

hidden adder
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note that there are 2 of each type

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the smaller one has area 20x

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the larger, x(20+2x)

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i still like mine more

nimble nebula
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But redcliff follow what Samoyed dude just said you'll find that easier

blissful wadi
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ohhhh ok

blissful wadi
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thx

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