20points

a farmer grows vegetables on a rectangular plot of land. the length of the plot is labeled in the diagram below. if the perimeter of the plot is (6x2 + 46x + 68) meters, what is its width?

Option A.

Step-by-step explanation:

1. The formula for caculate the perimeter of a rectangle is:

Where is the lenght and is the width.

2. You must substitute the expression of the perimeter and the expression of the length given in the problem, into the equation and solve for the width. Therefore, you obtain that the width is:

3. The answer is the option A.

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