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 respectively

Solution:

Given that,

Perimeter of rectangular traffic sign = 140 inches

Let length and width be denoted as 'L' and 'B' respectively

Given that length is 10 inches longer than its width

L = 10 + B

The perimeter of rectangle is given as:

Perimeter = 2 (L + B)

On substituting the values, we get

140 = 2 (10 + B + B)

140 = 2 (10 + 2B)

140 = 20 + 4B

B = 30

Therefore, the length is L = 10 + 30 = 40

Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.