SOLUTION: a rectangular piece of cardboard is 4 inches longer than it is wide. From each of its corners, a square piece 2 inches on a side is cut out. The flaps are then turned up to form an
Algebra.Com
Question 824746: a rectangular piece of cardboard is 4 inches longer than it is wide. From each of its corners, a square piece 2 inches on a side is cut out. The flaps are then turned up to form an open box, which has a volume of 42 cubic inches. Find the length and width of the original piece of cardboard.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a rectangular piece of cardboard is 4 inches longer than it is wide. From each of its corners, a square piece 2 inches on a side is cut out. The flaps are then turned up to form an open box, which has a volume of 42 cubic inches. Find the length and width of the original piece of cardboard.
------------------
Width = x
Length = x+4
Volume = 2(x-4)(x+4-4) = 2(x-4)(x) = 42 in^3
-------
x^2 -4x- 21 = 0
Factor:
(x-7)(x+3) = 0
x = 7 inches
----
width = x = 7
length = x+4 = 11
========================
Cheers,
Stan H.
========================
RELATED QUESTIONS
A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by Earlsdon)
A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by ankor@dixie-net.com)
A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by scott8148,ankor@dixie-net.com)
A rectangular piece of cardboard is 2 units longer than it is wide. From each of its... (answered by josgarithmetic)
The length of a rectangular piece of cardboard is 15 inches longer than its width. If a 5 (answered by Boreal)
--------------------------
A product packaging firm manufactures cardboard trays for... (answered by ankor@dixie-net.com)
A rectangular piece of cardboard is 20 cm longer than it is wide. Squares, 10 cm on each... (answered by stanbon)
A rectangular piece of cardboard is to be formed into an uncovered box. The piece of... (answered by checkley77)
A rectangular piece of cardboard is to be formed into an uncovered box. The piece of... (answered by ankor@dixie-net.com)