Question

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?

Answer 1

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.