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?

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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?

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Answer 1 · 2017-09-08T15:27:22

7 inches.

Explanation:

Ratio of width to length of known rectangle is $4 : 14$ $4 : 14$ this simplifies to $2 : 7$ $2 : 7$
The smaller similar rectangle will have the same ratio. .i.e. $2 : 7$ $2 : 7$
Since the width is $2$ $2$ then the length will be $7$ $7$ .

This can also be looked at another way. the second value in the ratio

is $\frac{7}{2}$ $7/2$ of the first value in the ratio and the first value is $\frac{2}{7}$ $2/7$ of the second value

Example: $\frac{7}{2} \cdot 2 = 7$ $7/2 * 2 = 7$

Example: $\frac{2}{7} \cdot 7 = 2$ $2/7 * 7 = 2$

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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?

1 Answer

Explanation:

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