Question

What happens to the area of a square when its side length is reduced by half?

(a) The new area is an eighth of the original.

(b) The new area is a quarter of the original

(c) The new area is half of the original

(d) All of these.

(e) none of these

Answer 1

Remember, the formula of a square is
`s^(2)`. If I half x,
`(x/2)^(2)` is the new formula. Because the exponent is around the varialbe(x/2), both are squares. Therefore, the formula is
`x^(2) /ide 4`.

Therefore, the new area is B: a quarter of the original.