Answer :
The greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.
Given:
A rectangle with integer side length has perimeter 10.
If the perimeter of rectangle 2(l+b) = 10
l+b = 10/2
l+b = 5.
Two choices:
1. 2 * 3 rectangle of area 6
2. 1 * 4 rectangle of area 4
The piece of paper has area 24×60 = 1440
This can be divided into rectangles with sides 2×3:
= 24/2 * 60/3
= 12*20
= 240
It can be divided into rectangles with sides 1×4:
= 24/1 * 60/4
= 24*15
= 360
Therefore the greatest numbers of these rectangles that can be cut from a piece of paper with width 24 and length 60 is 360 which is option D.
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