Question

traffic signs are regulated by the manual on uniform traffic control devices (mutcd).the perimeter of a rectangular traffic sign is 72 inches.also its length is 6 inches longer than its width. find the dimensions of this sign.

Answer 1

rectangular so this mean that the perimeter will be equal 2l +2w
than you know that the length is 6 inches longer than its width so what mean that l = w+6

in this case you can rewriting the P = 2l +2w = 2(w+6) +2w = 2w+12 +2w =4w+12
- but you know that P = 72 inches

so than

72 = 4w+12
60=4w
w=60/4

w=15

but you know that l=w+6

l=15+6

l=21
w=15

P=2l+2w

72=2*21 +2*15
72 =42+30
72=72

hope so much that this will help you sure right easy understanding

good luck

bye bye