Question

You are cutting shapes. Paper measures 40 cm x35. Each shape is 4cm x5cm. What is max number of shapes you can cut out from large sheet of paper.

Answer 1

The total area of the paper is 40*35=1400 (cm^2).

The area of each shape is 4*5=20 (cm^2)

This means that we can cut: 1400/20= 70 shapes.


Remark:

40 is a multiple of 4, and 35 is a multiple of 5. This assures use that the whole paper can be used, if

we divide the length into 40/4=10 equal parts, and the width into 35/5= 7 equal parts, as shown in the picture.