Answer:
The width is:
The length is:
Step-by-step explanation:
Given the equation
[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]
[tex]2w+4w+4=32[/tex] ∵ [tex]a\left(b+c\right)=ab+ac[/tex]
Add similar elements: 2w+4w=6w
[tex]6w+4=32[/tex]
subtract 4 from both sides
[tex]6w+4-4=32-4[/tex]
[tex]6w=28[/tex]
Divide both sides by 6
[tex]\frac{6w}{6}=\frac{28}{6}[/tex]
[tex]w=\frac{14}{3}[/tex]
Hence, the width is:
[tex]w=\frac{14}{3}[/tex]
w = 4.7 feet
Therefore, the width is: 4.7 feet
As the length is:
2w+2 = 2(14/3)+2
= 28/3 + 2
= 34/3
= 11.3 feet
Therefore, the length is: 11.3 feet
SUMMARY:
The width is:
The length is: