Problema Solution
A photograph is 7 inches long by 5 inches wide is surrounded by a border of uniform width. If the area of the border alone is 64 square inches, what is the width of the border?
Answer provided by our tutors
let
l = 7 in the length of the photograph
w = 5 in the width of the photograph
x = the width of the border, x>0
the area of the border alone is 64 square inches
(l + 2x)(w + 2x) - l*w = 64
(7 + 2x)(5 + 2x) - 7*5 = 64
by solving we find
x = 2 in
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the width of the border is 2 inches.