Algebra 2

posted by .

You are creating a metal border of uniform width for a wall mirror that is 20 inches by 24 inches. You have 416 square inches of metal to use. Write and solve an equation to find the border's width.

  • Algebra 2 -

    final dimensions of the framed mirror:
    (20+2w) x (24+2w)

    final area: (20+2w)(24+2w)
    mirror area: 20*24
    border area: (20+2w)(24+2w)-480
    = 480 + 88w + 4w^2 - 480 = 416
    w^2 + 22w - 104 = 0
    (w+26)(w-4) = 0

    w = 4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A piece of metal is bent into a rectangle and has a length which is 5 times as long as its width. If the perimeter of the piece of metal is 13 feet 6 inches, find the length and the width of the piece of sheet metal. You must use a …
  2. MATH HELP NOW

    We are doing solving polynomials using the zero factor property and here is the question: Marie has a rectangular board 18 inches by 23 inches around which she wants to put a uniform border of shells. If she has enough shells for a …
  3. Math

    You are using glass tiles to make a picture frame for a square photograph with sides 10 inches long. You want the frame to form a uniform border around the photograph. You have enough tiles to cover 300 square inches. What is the largest …
  4. Algebra II

    A picture is four inches wide and six inches long. It has an additional border of uniform width. If the area of the picture is equal to the area of the border, what is the width of the border?
  5. calculus

    A large soup can is to be designed so that the can will hold 54pi cubic inches of soup. The radius of the can is "x" inches and the height of the can is "h" inches. Find the values for the radius and the height such that the amount …
  6. algebra 2

    you are using tiles to make a picture frame for a square photograph with sides 10 inches long. You want the frame to form a uniform border around the photograph, You have enough tiles to cover 300 square inches. What is the largest …
  7. Algebra

    A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a uniform border. What is the width of the border?
  8. math please help asap

    a photo is 4 inches wide it is placed inside a frame with a border that is x inches wide the total width of the photo and the frame is 7 inches write an equation to model the situation then solve the equation to find the width of the …
  9. Math

    A photo is 4 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the photo and the frame is 7 inches. Write an equation to model the situation. Then solve the equation to find the width …
  10. Algebra

    A painting is 18 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the painting and the frame is 24 inches. Create an equation to model the situation, and then solve the equation to find …

More Similar Questions