(15 points please help!!!!)

A box is formed by cutting square pieces out of the corner of a rectangular piece of a 4” by 6” note card as shown. The sides will then be folded up to make the box.
A. What is the original length (long side) of the note card?
B. How many pieces of length x have been cut from the original length?
C. Write the resulting length of the note card, once the pieces have been cut.
D. What is the original width (short side) of the note card?
E. How many pieces of length x have been cut from the original width?
F. Write the resulting width of the note card after the pieces have been cut.
G. What is the area of the bottom of the box with the new dimensions?

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Answer :

jdoe0001 jdoe0001 · Answer 1 · 2018-06-17T17:18:54-04:00

check the picture below.

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smecloudbird17 smecloudbird17 · Answer 2 · 2022-07-04T05:45:15-04:00

The original length of the note card is 6''.

Two pieces of length x has been cut from original length on each side.

The resulting length of the note card once the pieces have been cut are (6-2x)''.

The original width of the note card is 6''.

Two pieces of length x has been cut from original width on each side.

The resulting width of the note card once the pieces have been cut are (4-2x)''.

Length is the longest dimension of a figure and it shows how long the given object or figure is.

Original length = 6''

Length of the piece cut = x''

Number of pieces cut = 2

Total length reduced = 2 * x = 2x''

Resulting length = (6 - 2x)''

Width is the shorter distance of an object or a figure and it shows how broad or wide the given figure is.

Original width = 4''

Length of the piece cut = x''

Number of pieces cut = 2

Total width reduced = 2 * x = 2x''

Resulting width = (4 - 2x)''

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