The figure shows a rectangle with a width of 6k inches. The length of the rectangle is 4 inches shorter than the width. a.) Find the length of the rectangle in terms of k.
b.) What is the perimeter of the rectangle in terms of k?
c.) If k = 6, find the perimeter of the rectangle.

Step-by-step explanation:

b. what is the perimeter of the rectangle in terms of k?

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