## lilly21 Group Title 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 2 years ago 2 years ago

1. lilly21 Group Title

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2. UnkleRhaukus Group Title

$A_G=2A_W$

3. mridrik Group Title

how wide should what be?

4. lilly21 Group Title

thats supposed to b the equation right?

5. lilly21 Group Title

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

6. UnkleRhaukus Group Title

area of the walk way $=A_W$ area of the garden $=A_G$

7. lilly21 Group Title

ooo

8. lilly21 Group Title

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

9. UnkleRhaukus Group Title

i not sure i understand that question

10. lilly21 Group Title

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

11. UnkleRhaukus Group Title

i am making this up as i go along

12. lilly21 Group Title

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

13. UnkleRhaukus Group Title

ok so i have made a huge mistake, $A_W = (12ft+3ft)×(20ft+2xft) -A_G$

14. lilly21 Group Title

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

15. UnkleRhaukus Group Title

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

16. lilly21 Group Title

sure is

17. pythagoras123 Group Title

wait... so is the garden a pentagon?

18. lilly21 Group Title

nope.rectangle

19. UnkleRhaukus Group Title

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

20. UnkleRhaukus Group Title

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

21. lilly21 Group Title

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

22. UnkleRhaukus Group Title

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