A mathematics books is contain 60 square inch of printed matter per page, with m

Question

A mathematics books is contain 60 square inch of printed matter per page, with margins of 1inch along the side and1.5 inch along the top and bottom. Find the dimensions of the page that will lead to the mininmum amount of paper being used for a page round the nearest hundredth, if necessary. A mathematics books is contain 60 square inch of printed matter per page, with margins of 1inch along the side and1.5 inch along the top and bottom. Find the dimensions of the page that will lead to the mininmum amount of paper being used for a page round the nearest hundredth, if necessary.

Explanation / Answer

length of paper = x
height of paper = y

length of printed matter = x - 2; take out the 1 inch off of the two sides
height of printed matter = y - 3; take out the 1.5 inches at the bottom and at the top
Area of printed mater = (x - 2)(y - 3) = 60

y - 3 = 60/(x - 2)

y = 3 + 60/(x - 2)

y = (3x - 6 + 60)/(x - 2)

y = (3x + 54)/(x - 2)

Area of entire page

A = xy

A = x( (3x + 54)/(x - 2))
A = (3x

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.