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1 June, 04:36

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

A large rectangle has a length of 16 and width of 12. A smaller rectangle has length of 4 and width of 3.

Which choices show the ratio of the area of the smaller rectangle to the area of the larger rectangle? Select three options.

StartFraction 4 over 16 EndFraction

(StartFraction 4 over 16 EndFraction) squared

StartFraction 12 over 192 EndFraction

StartFraction 4 squared over 12 squared EndFraction

(StartFraction 3 over 12 EndFraction squared

+4
Answers (2)
  1. 1 June, 08:29
    0
    (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
  2. 1 June, 08:32
    0
    (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
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