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.a. 4 / 16 b. 4 / 16 squaredc. 12 / 192d. 4 squared / 12 squared e. 3 / 12 squared

Respuesta :

Answer:

Only one option is correct from the information provided.

c. 12/192

Step-by-step explanation:

Recall that the area of a rectangle is given by:

[tex] = l \times w[/tex]

The larger rectangle has length of 16 and a width of 12.

The area of the larger rectangle is

[tex]12 \times 16 = 192[/tex]

The smaller rectangle has length of 4 and a width of 3.

The area of the smaller rectangle is

[tex]3 \times 4 = 12[/tex]

The ratio of the smaller rectangle to the larger rectangle is

[tex] \frac{12}{192} [/tex]

When you reduce this fraction , you obtain:

[tex] \frac{1}{16} [/tex]

Answer:

B, C, E   yw!!

Step-by-step explanation: