Math
posted by Brookanne .
Walter is making an opentop box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 280 square inches.
What is the length of the box in inches?
(I really don't know where to start)

just start by listing the facts:
width=w
length=w+6
height=2
area is the 4 sides + bottom
= 2(width*height)+2(length*height)+(length*width)
= 2(2w)+2(2(w+6))+w(w+6)
= 4w + 4w+24 + w^2+6w
= w^2 + 14w + 24
So, now we know that
w^2+14w+24 = 280
w^2+14w256 = 0
Solve that for w, and the length is w+6
Respond to this Question
Similar Questions

college algebra
a rectangular box has a volume of V(x)=x^3+13x^2+50x+56 cubic inches. The height of the box is x+7 inches. The width of the box is x+4 inches. Find the length of the box in terms of x. 
math
Answer by factoring a quadratic equation. The length of an opentop box is 4 cm longer than its width. The box was made from a 480cm^2 rectangular sheet of material with 6cm by 6cm squares cut from each corner. The height of the box … 
math
The length of an opentop box is 4 cm longer than its width. The box was made from a 480cm^2 rectangular sheet of material with 6cm by 6cm squares cut from each corner. The height of the box is 6cm. Find the dimensions of the box. … 
Physics
An open box with a square base (see figure) is to be constructed from 160 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? 
MATH!!
carl has a box with a length width and height of 12 inches. she needs a box that is 4 inches longer, not as high, yet still has exactly the same width and volume. what are the new dimensions? 
Math/209
Dimensions of a Box A box is made from a rectangular piece of metal with length 50 inches and width 40 inches by cutting out square corners of length x and folding up the sides. (a) Write an expression that gives the surface area of … 
Math
A rectangular box has a length of 12 inches and a width 4 inches. The length of the threedimensional diagonal of the box is 14 inches. What is the height of the box? 
Math
A glass box shaped like a rectangular prism has with 7 inches length 9 inches height 12 inches is being shipped in a larger box with whipped 10 inches length 10 inches in height 15 inches the space between the glass box on the shipping … 
Algebra
Walter is making an opentop box. The length is 6 inches greater than the width, and the height is 2 inches. The area of the rectangular sheet of material that will be folded to make the box is 320 square inches. What is the width … 
Math
A glass box shaped like a rectangular prism has width of 7 in., length 9 in., and height 12 in. . It is being shipped in a bigger box with width 10 inches, length 10 inches, and height 15 inches. The space between the box and the shipping …