Traffic signs are regulated by the Manual on Uniform Traffic Control Devices​ (MUTCD). The perimeter of a rectangular traffic sign is 140 inches.​ Also, its length is 10 inches longer than its width. Find the dimensions of this sign. What is the length of the​ sign?

The length and width of rectangular traffic sign are 40 and 30 inches respectivelySolution:Given that,Perimeter of rectangular traffic sign = 140 inchesLet length and width be denoted as ‘L’ and ‘B’ respectivelyGiven that length is 10 inches longer than its widthL = 10 + BThe perimeter of rectangle is given as:Perimeter = 2( L + B)On substituting the values, we get140 = 2(10 + B + B) 140 = 2(10 + 2B) 140 = 20 + 4BB = 30 Therefore, the length is L = 10 + 30 = 40Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.