Problema Solution
A page for a magazine contains 70 square inches of type. The length for a page is twice the width. If the margin around the page is two inches uniformly, what are the dimensions of a page?
Answer provided by our tutors
let
l = the length of the page, l>0
w = the width of the page, w>0
m = 2 in the margin of the page
the magazine contains 70 in^2 type that is
(l - 2*2)*(w - 2*2) = 70
(l - 4)*(w - 4) = 70
the length for a page is twice the width
l = 2w
plug l = 2w into (l - 4)*(w - 4) = 70 we get
(2w - 4)*(w - 4) = 70
by solving we find
w = 9 in
click here to see the step by step solution of the quadratic equation
l = 2*9
l = 18 in
the dimensions of the page are: the length is 18 inches and the width is 9 inches.