Question

HELP ! If the dimensions of a rectangle become one-fifth of the original dimensions, then area of the new rectangle will be _______of the area of the original rectangle.

Answer 1

let's take an example:
all sides of the original rectangle are 1 in.
(so, technically it's a square)

Answer 2

so the area of the original would be = 1in * 1 in = 1 sq. in.

Answer 3

so now would we do 1 * 1/5 = __

Answer 4

so .2? is that one

Answer 5

in the new rectangle each side would be 1/5

so new area = \[\frac 15 \times \frac 15 = \Large{1 \over 25}\]

Answer 6

so the area of the new rectangle will be 1/25th of the area of the original rectangle?

Answer 7

yes ..
if you are scaling something the ratio of the areas will be the square of the ratio of the sides... (i.e. the square of the scale factor)

Answer 8

Oh! makes sense now! Thank you!