Question

A rectangle is 14 inches long and 4 inches wide. A smaller, similar rectangle is 2 inches wide. To the nearest inch, what is the length of the smaller rectangle? A. 3 1/2 in. B. 7 in. C. 8 in. D. 18 in. Please include ALL work!

Answer 1

Answer:

7 inches

Step-by-step explanation:

The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.

The smaller similar rectangle will have the same ratio of 2 :7.

This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.

Example:

7/2 * 2 = 7

Example:

2/7 * 7 = 2