If the lengths of the sides of a square are halved, the area is the new square is ...

A. 1/4 the area of th old square

B. 1/2 the area of the old square

C. Equal to the area of the old square

D. Twice the sea of the old square

E. 4 times the area of the old square

A. 1/4 the area of the old square

Step-by-step explanation:

The length of the side of a square is s.

The area of square = s^2

If the length of the each side becomes half of the original length, now the length of each side is s/2.

The area of the smaller square is

area = (s/2) ^2

area = s^2/2^2

area = s^2/4 = 1/4 * s^2

Original area: s^2

New area: s^2/4 = 1/4 * s^2

The new area is 1/4 of the original area.

Since it isn't really described in which way sides have been halved, I suppose that all 4 lengths have been halved and used to create a new square.

That square would be 1/4 of the old square.