Problema Solution
The perimeter of a traffic sign must be 98 inches. Its length is 15 inches longer than its width. Find the dimensions of the sigm.
Answer provided by our tutors
width = w
length = w + 15
perimeter = 2*length + 2*width
= 2(w + 15) + 2w
= 2w + 30 + 2w
= 4w + 30
and perimeter = 98
so 98 = 4w + 30
68 = 4w
17 = w
length = w + 15 = 17 + 15 = 32
so the length is 32 inches and the width is 17 inches