A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 4" by 6" note card. The sides will then be folded up to make the box.
A. the resulting length of the note card is 6-2x and the resulting width of the note card is 4-2. A(x)= (6-2x)(4-2x), set this equal to 16 and use the quadratic formula to solve for the two possible answers.

Question

A box is to be formed by cutting square pieces out of the corner of a rectangular piece of a 4" by 6" note card. The sides will then be folded up to make the box.
A. the resulting length of the note card is 6-2x and the resulting width of the note card is 4-2. A(x)= (6-2x)(4-2x), set this equal to 16 and use the quadratic formula to solve for the two possible answers.

anonymous · Answer

A(x)= (6-2x)(4-2x)
setting it 16 means
16 =(6-2x)(4-2x)
16 = (2*(3-x) ) * (2(2-x))
16=4(3-x)(2-x)
4=(3-x)(2-x) and so on...

anonymous · Answer

i only got one answer when i solved it, so i'm not sure if i did something wrong.

anonymous · Answer

i got 5 +/- sqrt 17 over 2