Problema Solution
the length of a rectangular envelope is 2 and 1/2 times its width. a plastic band surrounds the front and back of the envelope to secure it. the plastic band is 39 and 3/8 inches long. find the length and width of the envelope.
Answer provided by our tutors
let
w = the width of the envelope
l = the length of the envelope
P = 39 3/8 = (39*8 + 3)/8 = 315/8 in the perimeter of the envelope
length of a rectangular envelope is 2 and 1/2 times its width
2 1/2 = 3/2
l = (3/2)w
the perimeter is
P = 2(l + w)
2(l + w) = 315/8
by solving the system of equations:
l = (3/2)w
2(l + w) = 315/8
we find:
l = 11.8 in
w = 7.9 in
click here to see the step by step solution of the system of equations:
the length of the envelope is 11.8 inches.
the width of the envelope is 7.9 inches.