Question

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

Answer 1

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:

$= l \times w$

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

The area of the larger rectangle is

$12 \times 16 = 192$

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

The area of the smaller rectangle is

$3 \times 4 = 12$

The ratio of the smaller rectangle to the larger rectangle is

$\frac{12}{192}$

When you reduce this fraction , you obtain:

$\frac{1}{16}$