Problema Solution
Suppose a rectangle has a perimeter of 64 inches. Find the possible dimensions of the rectangle given the domain values {3,6,7,10}. Write answers as ordered pairs.
Answer provided by our tutors
let
l = the length of the rectangle, l>0
w = the width of the rectangle, w>0
l > w
the rectangle has a perimeter of 64 inches
2(w + l) = 64 divide both sides by 2
w + l = 32
l = 32 - w
the domain values {3,6,7,10} so we have the following pairs (w, 32 - w)
(3, 32 -3) = (3, 29)
(6, 32 - 6) = (6, 26)
(7, 32 - 7) = (7, 25)
(10, 32 - 10) = (10, 22)