Problema Solution
The perimeter of a rectangular traffic sign is 114 inches. Also, its length is 15 inches longer than its width. Find the dimensions of this sign.
Answer provided by our tutors
Let
l = the length of the sign, l>0
w = the width of the sign, w>0
P = 114 in the perimeter of the sign
Length is 15 inches longer than its width:
l = w + 15
The perimeter of rectangle is:
P = 2(l + w)
2(l + w) = 114
We need to solve the following system of equations:
l = w + 15
2(l + w) = 114
........
........
l = 36 in
w = 21 in
The dimensions of the sing are: the length is 26 inches and the width is 21 inch.