Which of the following rectangles is similar to a rectangle that measures 12 units by 16 units?

A/18x24
B/9x14
C/6x10
D/16x20

Which of the following rectangles is SIMILAR to a rectangle that measures 5 units by 12 units?

Name the lengths of the sides of three rectangles with a perimeter of 12 units. Use only whole numbers

To determine which of the given rectangles is similar to a rectangle measuring 12 units by 16 units, you need to compare the ratio of the sides.

The ratio of the sides of the given rectangle is 12:16, which simplifies to 3:4.

Let's check each option to determine the ratios:

A) 18:24 = 3:4 - This rectangle has the same ratio as the given rectangle.

B) 9:14 - This ratio is not the same as the given ratio, so this rectangle is not similar.

C) 6:10 - This ratio is not the same as the given ratio, so this rectangle is not similar.

D) 16:20 = 4:5 - This ratio is not the same as the given ratio, so this rectangle is not similar.

Therefore, option A/18x24 is the rectangle that is similar to the rectangle measuring 12 units by 16 units.

since 12/16 = 18/24 = 3/4

so the answer is A. 18x24