Question

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

Answer 1

The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.

thanks....!

Answer 2

Answer:

The side length has to be multiplied by 5 to make the square of the smaller area as $25A^2$

To find:

How was the side of the smaller square changed?

Solution:

The square’s area has been changed from $A^2$ to the area of $25A^2$

The side length of the square at first will be A

Thus, the area of the square will be  

Area = Side × Side = A × A  

Area = $A^2$

Now, to make the area of the square as $25A^2,$ we need to change the side length of the square.

Previously, the side length is A

Now, multiplying it by 5 gives,

Side length = 5 × A = 5A

Thus, the Area of the square becomes

Area = Side × Side = 5A × 5A = $25A^2$

Thus, the side length has to be multiplied by 5 to make the square of the smaller area as $25A^2$