Respuesta :
Formula for Perimeter is P=2l+2w. Then you plug in the information that you already know:
P=2(x+6)+2(12)
64=2x+12+24
64=2x+36
28=2x
x=14
you plug x back into your equation for l and get l=14+6=20
The length is 20 ft.
Answer: The length of the patio is 20 feet.
Step-by-step explanation: Given that the perimeter of a patio is 64 feet. The width of the patio is 12 feet and the length of the patio is (x + 6) feet.
We are to find the length of the patio.
According to the given information, we have
[tex]2\{12+(x+6)\}=64\\\\\Rightarrow 2(x+18)=64\\\\\Rightarrow x+18=\dfrac{64}{2}\\\\\Rightarrow x+18=32\\\\\Rightarrow x=32-18\\\\\Rightarrow x=14.[/tex]
Therefore, the length of the patio is given by
[tex]x+6=14+6=20~\textup{feet}.[/tex]
Thus, the required length of the patio is 20 feet.
