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!

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

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq