anonymous
  • anonymous
heeeeeeeeelllllllllllpppppppppp! mr. abato is constructing the walkway on the three sides of his garden. how wide should the two remaining sides be if he wants the total area of the walkway to be one-half the area of his garden???? answers a. 1 3/4ft b. 2ft c.2 1/4ft d. 2 1/2ft
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1333686970608:dw|
UnkleRhaukus
  • UnkleRhaukus
\[A_G=2A_W\]
anonymous
  • anonymous
how wide should what be?

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anonymous
  • anonymous
thats supposed to b the equation right?
anonymous
  • anonymous
the big "A" and the sub letter wats that supposed 2b 4?
UnkleRhaukus
  • UnkleRhaukus
area of the walk way \[=A_W \] area of the garden \[=A_G\]
anonymous
  • anonymous
ooo
anonymous
  • anonymous
ok how do u knw in which order to place the #s? in the equation
UnkleRhaukus
  • UnkleRhaukus
i not sure i understand that question
anonymous
  • anonymous
like since u created separate equations....how do u knw which #s to put in them?
UnkleRhaukus
  • UnkleRhaukus
i am making this up as i go along
anonymous
  • anonymous
well.....really? thats nice 2 know (head shake)
UnkleRhaukus
  • UnkleRhaukus
ok so i have made a huge mistake, \[A_W = (12ft+3ft)×(20ft+2xft) -A_G\]
anonymous
  • anonymous
ok so will this 'made up' equation of urs help me w/ this problemm? jus asking
UnkleRhaukus
  • UnkleRhaukus
is that a 3 ft walkway at the top of page?
anonymous
  • anonymous
sure is
pythagoras123
  • pythagoras123
wait... so is the garden a pentagon?
anonymous
  • anonymous
nope.rectangle
UnkleRhaukus
  • UnkleRhaukus
cool. lets start from the start. Picture , good we are solving a system of 3 equations, two are the equation for the area, an one is the relationship between the two areas. From the diagram we can see that 1. the area of the garden is the area of the rectangle ={width} x {length} \[A_G=20ft \times 12ft\]\[=120ft^2\] 2. the area of the walkway is the area of the rectangle minus the area of the garden \[A_W = (2x+20)ft \times (12+3)ft -A_G\]\[ = 2(x+10)ft\times 15ft-120ft^2\] 3. the question states that the area of the walkway is half the area of the garden\[A_W=\frac{1}{2}A_G\] \[SSubsitute 1. and 2. into 3. and solve
UnkleRhaukus
  • UnkleRhaukus
i dont know why but i keep getting x is negative 4 ,
anonymous
  • anonymous
where is the (2x+20)ft coming from again?
UnkleRhaukus
  • UnkleRhaukus
|dw:1333689848029:dw|
anonymous
  • anonymous
ok but like in step 1. u wrote (2x+20)ft and i kinda confused isnt it supposd 2 b 3x?
anonymous
  • anonymous
i mean step 2 my bad
UnkleRhaukus
  • UnkleRhaukus
is that a 2x on the left?
anonymous
  • anonymous
no its an 'x' its an 'x' on both sides
UnkleRhaukus
  • UnkleRhaukus
|dw:1333690028475:dw|