Question

If the diagonal of a
square shrinks to
50%, then to what
percentage would
the area of the
square shrink?​

Answer 1

Answer:

the diagonal has shrinked to 50% or we can say that it has become half (1/2).

area of square with respect to diagonal = 1/2* d²

diagonal of square is= a✓2

diagonal has become half...

so, diagonal becomes= a✓2/2

A= 1/2× (a✓2/2)²

1/2× 2a²/4

1/2× a²/2

a²/4

New area will be a²/4

comparing new area with original area:-

a²/4: a²

1/4: 1

hence, the area reduces by 1/4

or 25%

Step-by-step explanation:

your answer is 25 %

hope it helped you