Cut out a square from a piece of paper. Now make a square whose area is half the area of the first square. Class 8

Cut out a square from a piece of paper. Now make a square whose area is half the area of the first square. Class 8

Question 1.

Cut out a square from a piece of paper. Now make a square whose area is half the area of the first square. Class 8

Solution:

Cut the cutout square into eight equal parts as shown in the figure :

Now, take any four parts out of these eight parts and rejoin them to form a square as shown below :

Its area is half of the area of the original square.

Question 2.

Will the square having half the sidelength have half the area? Why not? Class 8

How many such squares will fill the original square?

Solution:

No. Its area will be equal to one-fourth of the area of the original square.

Four such squares will fill the original square.