Asked by Kim
a textbook page measures 6 inches by 9 inches. there is a margin of uniform width around all four sides of the page leaving 28 square inches for printing. find the width and height of the printing area
Answers
Answered by
Steve
(6-2w)(9-2w) = 28
4w^2 - 30w + 54 = 28
4w^2 - 30w + 26 = 0
(2w-13)(2w-2) = 0
w = 2 or 13/2
13/2 is too big, since the book is only 6" wide.
so, the border is 1" wide.
check: 4x7 = 28
4w^2 - 30w + 54 = 28
4w^2 - 30w + 26 = 0
(2w-13)(2w-2) = 0
w = 2 or 13/2
13/2 is too big, since the book is only 6" wide.
so, the border is 1" wide.
check: 4x7 = 28
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