Can you now figure out the area of the big square formed with all seven pieces in terms of the area of Shape C? Class 6

Can you now figure out the area of the big square formed with all seven pieces in terms of the area of Shape C? Class 6

Question 1.

Can you now figure out the area of the big square formed with all seven pieces in terms of the area of Shape C? Class 6

Solution:

Yes. Area of the big square is 16 times the area of shape C.

Question 2.

Arrange these 7 pieces to form a rectangle. What will be the area of this rectangle in terms of the area of Shape C now? Give reasons for your answer. Class 6

Solution:

That is, area of the formed rectangle is 16 times the area of the shape C. It is because, there is no change in the areas of the seven pieces.

Question 3.

Are the perimeters of the square and the rectangle formed from these 7 pieces different or the same? Give an explanation for your answer. Class 6

Solution:

The perimeters of the square and the rectangle formed from the seven pieces are different. It is because the lengths of the sides of square and the rectangle are different. In fact, perimeter of the rectangle formed will be more than that of the square.