Question

Please HELP 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?

Answer 1

The answer is A but on the plato test for me the right option is D the answer are changed look at the answer correctly

Explanation:

plato valid

Answer 2

Answer: Option A.

Explanation:

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

`P=2l+2w`

Where
`l` is the lenght and
`w` 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:

`6x^(2)+46x+68=2(2x^(2)+18x+28)+2w\\6x^(2)+46x+68=4x^(2)+36x+56+2w\\2w=6x^(2)+46x+68-4x^(2)-36x-56\\w=(2x^(2)+10x+12)/(2)\\w=x^(2)+5x+6`

3. The answer is the option A.