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?

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1