Question

What happens to the area of a square when its side is halved? Its area will

Answer 1

Let the side of square be a,
area of square = a²

A/Q, if its side get halved, then a/2
so area of this square will be (a/2)²
or, a²/4.

so required answer is :
if the side of square is halved then area will reduce to 4 times or it will be 1/4th

Hope it will help you !!!

Answer 2

hey there !

let the side of square be x

=) it's area = x^2

new side = x/2

=) new area = x^2 /4
it's area will be 1/4 th of original area.

change in area = x^2 - x^2/4 = 3x^2 /4

so if side of square becomes half then area change becomes (3/4)th .

% change in area = 3/4 ×100 = 75%

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hope it helps