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.