Question

If we decrease the side of a square by half. then the area decreased by what percentage

Answer 1

Area of square = (side)^2
If we decrease the side of square by half then the Area will be one-fourth

Answer 2

Answer:

Let's assume a square of side a.

So, the area of square = a ×a = a^2.

Now, as per given condition if we decrease the side of square by half then the side of square will become a/2 or 0.5a.

So, area of square of side 0.5a = 0.5a × 0.5a = 0.25a^2.

Decreased in area = a^2 - 0.25 a^2

= 0.75 a^2.

Percentage Decreased in area = (0.75 a^2/a^2)×100

= 0.75 × 100

= 75.

Area will be decreased by 75 %