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lozanna [386]
3 years ago
9

ASAP HELP PLEASE WILL GIVE BRAINLIEST

Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer:

17cm

Step-by-step explanation:

equation:

2(2x + 1) + 2(x - 5) = 40 \\ x = 8 \\

substitute 8 into

(2x + 1)

2(8) + 1 = 17

lenghth = 17cm

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check the picture below.


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now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


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