MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

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.