Miki has a sheet of paper with a length of 104 centimeters and a width of 88 centimeters. she wants to divide it into the largest squares possible without wasting any paper. how many squares of the largest size will she be able to cut from the paper?

143 squares.

Step-by-step explanation:

Given,

The dimension of the paper = 104 cm × 88 cm,

Also, 104 = 2 × 2 × 2 × 13 = 2³ × 13,

88 = 2 × 2 × 2 × 11 = 2³ × 11,

Thus,

Since, the area of a square = side²,

Also, the paper should not waste, then the area of the paper = total area of the squares,

⇒ The total area of the squares = 143 × 8²

= the number of squares × area of a square having largest side length.

Hence, there will be 143 squares from the paper.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb