Question

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. what is the length of the patio?

Answer 1

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

$2\{12+(x+6)\}=64\\\\\Rightarrow 2(x+18)=64\\\\\Rightarrow x+18=\dfrac{64}{2}\\\\\Rightarrow x+18=32\\\\\Rightarrow x=32-18\\\\\Rightarrow x=14.$

Therefore, the length of the patio is given by

$x+6=14+6=20~\textup{feet}.$

Thus, the required length of the patio is 20 feet.

Answer 2

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.