Imagine a square piece of cloth 1 meter by 1 meter that could be altered to make a tablecloth for a rectangular table.
You could cur off a strip 20% of the way along the square, rotate it, and attach it to the other edge to make a rectangle. There would be a little bit of cloth left over!
• The purple square is the original tablecloth.
• The blue rectangle is the new tablecloth.
• The red piece shows the cloth that is left over.
Look at the diagram
• What percentage of the original cloth has been used to make the new tablecloth? Instead of cutting off a 20% strip, you could cut a 10% strip, or a 15% strip, or a different percentage.
Choose some percentages to try. For each example, think about the following questions:
• What percentage of the original tablecloth is used to make the new tablecloth?
• What percentage of the original tablecloth is wasted?
• Is there a quick way to work out the percentage of cloth used and wasted, if you know what percentage strip was cut off?
Then answer these questions.
• To make a rectangular tablecloth in this way, with an area of 75% of the original cloth, what percentage strip would you need to cut off?
• To make a rectangular tablecloth in this way, with an area 50% of the original cloth, what percentage strip would you need to cut off?
pls answer it quickly.