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

- anonymous

- katieb

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- anonymous

|dw:1333686970608:dw|

- UnkleRhaukus

\[A_G=2A_W\]

- anonymous

how wide should what be?

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## More answers

- anonymous

thats supposed to b the equation right?

- anonymous

the big "A" and the sub letter wats that supposed 2b 4?

- UnkleRhaukus

area of the walk way \[=A_W \]
area of the garden \[=A_G\]

- anonymous

ooo

- anonymous

ok how do u knw in which order to place the #s? in the equation

- UnkleRhaukus

i not sure i understand that question

- anonymous

like since u created separate equations....how do u knw which #s to put in them?

- UnkleRhaukus

i am making this up as i go along

- anonymous

well.....really? thats nice 2 know (head shake)

- UnkleRhaukus

ok so i have made a huge mistake,
\[A_W = (12ft+3ft)Ã—(20ft+2xft) -A_G\]

- anonymous

ok so will this 'made up' equation of urs help me w/ this problemm? jus asking

- UnkleRhaukus

is that a 3 ft walkway at the top of page?

- anonymous

sure is

- pythagoras123

wait... so is the garden a pentagon?

- anonymous

nope.rectangle

- 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

i dont know why but i keep getting x is negative 4 ,

- anonymous

where is the (2x+20)ft coming from again?

- UnkleRhaukus

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- anonymous

ok but like in step 1. u wrote (2x+20)ft and i kinda confused isnt it supposd 2 b 3x?

- anonymous

i mean step 2 my bad

- UnkleRhaukus

is that a 2x on the left?

- anonymous

no its an 'x'
its an 'x' on both sides

- UnkleRhaukus

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