Look at this square:

If the side lengths are doubled, then which of the following statements about its perimeter will be true?

a) The new perimeter will be 2 times the old perimeter.

b)
The new perimeter will be 4 times the old perimeter.

c)
The new perimeter will be 3 times the old perimeter.

d)
The new perimeter will be 12 of the old perimeter.

You can solve this problem without using the measurements given in the diagram.

The original square had this perimeter:

The new square will have sides that are 2 times as long. Since the original side lengths were *s*, the new side lengths will be 2*s*. Calculate the perimeter:

P = 4(2s) = 8s

Divide the new perimeter by the original perimeter and simplify.

The new perimeter will be
2 times the old perimeter.

Look at this rectangle

If the base is tripled, then which of the following statements about its area will be true?