Answer:
Step-by-step explanation:
Perimeter = 84 cm
2*(length + width) = 84
2* (2x - 8 + x - 2) = 84
2*(2x + x - 8 - 2) = 84 {bring like terms together}
2*(3x - 10) = 84 {add/ subtract like terms}
Divide both sides by 2
[tex]\frac{2*(3x-10)}{2}=\frac{84}{2}\\\\[/tex]
3x - 10 = 42
3x - 10 +10 = 42 + 10 {add 10 to both sides}
3x = 52
Divide by 3,
[tex]\frac{3x}{3}=\frac{52}{3}\\[/tex]
x= 17 1/3
Length = 2x - 8
[tex]=2*\frac{52}{3}-8\\\\=\frac{104}{3}-\frac{8*3}{1*3}\\\\=\frac{104}{3}-\frac{24}{3}\\\\=\frac{104-24}{3}\\\\=\frac{80}{3}\\\\=26\frac{2}{3}[/tex]
