The perimeter of the quadrilateral is 42 centimeters. find the length of each side

10+11+10+11
9+12+9+12
8+13+8+13
etc

Hello

x+5 + x+6 +x^2-2x + 2x-3 = 43 

2x+11 + x^2 - 3 = 43 

x^2 + 2x + 8 = 43 

x^2 + 2x - 35 = 0 

(x + 7)(x - 5) = 0 

so x = -7 and x = 5. 


Only x = 5 makes sense so 
side 1 = x + 5 = 10 
side 2 = x + 6 = 11 
side 3 = x^2 - 2x = 15 
side 4 = 2x - 3 = 7 

Check: 
10 + 11 + 15 + 7 = 21 + 22 = 43 

Have a nice day

It would be 10 inches