Question

A rectangle is reduced by a scale factor of One-fourth.

Answer 1

Answer:

(StartFraction 4 over 16 EndFraction) squared

StartFraction 12 over 192 EndFraction

(StartFraction 3 over 12 EndFraction squared

Step-by-step explanation:

Ratio of areas = (ratio of sides)²

Answer 2

Answer:

(4/16)^2

(3/12)^2

12/192

Step-by-step explanation:

We can write the ratio by taking the smaller length over the larger length

4 / 16

1/4

To find the area ratio

We take the scale factor and square it

I remember length is in units, area is in units ^2 so the area ratio is in scale factor squared

(1/4)^2

1/16

We can also look at the scale factor squared before we simplified it

(4/16) ^2

We also could look at the width ratio

3/12 and square it

(3/12)^2

Looking for the third choice

12/192 simplifies to 1/16