Question

What is the greatest number of rectangles 6cm x 4cm that can be cut from a piece of metal measures 16 cm x 20 cm?

Answer 1

Answer:

The greatest number of rectangles that can be cut from the piece of metal = 12

Explanation:

The dimension of the piece of metal = 16cm x 20cm

That is:

Length of the piece of metal = 20 cm

Width of the piece of metal = 16 cm

The dimension of the rectangle = 6cm x 4cm

Length of the rectangle = 6cm

Width of the rectangle = 4cm

The diagram below illustrates how the rectangles can be cut from the piece of metal

Considering the diagrams drawn above, and counting the rectangles formed, we can conclude that the greatest number of rectangles will be cut using the approach on the left, hence the greatest number of rectangles that can be cut is 12