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The image below represents a tree farm. The length and width of the tree farm are labeled. Use this image to help you answer each part of the constructed response question.

A = length • width

1. Write an expression in simplified form, for the area of the tree farm.


2. If x = 2, what is the area of the tree farm? Show how you did it. Please label with the proper unit of measurement.


3. The builder decides to change the width of the tree farm. The area of the farm is now x² - 196 sq. ft. What is the new width measurement? Please show and explain how you found the new measurements.

PLEASE HELPThe image below represents a tree farm The length and width of the tree farm are labeled Use this image to help you answer each part of the construct class=


Answer :

1. The expression for the area of the tree farm is given as follows: A = 3x² + 42x.

2. When x = 2, the area is given as follows: 96 ft².

3. The new width is of: x - 14 ft.

How to obtain the area of a rectangle?

The area of a rectangle is obtained with the multiplication of it's dimensions, as follows:

Area = length x width.

The dimensions for this problem are given as follows:

  • Length: x + 14.
  • Width: 3x.

Hence the expression is given as follows:

Area = (x + 14)(3x)

Area = 3x² + 42x.

Then the numeric value of the area when x = 2 is given as follows:

Area = 3(2)² + 42(2) = 96 ft².

For item 3, we have that the width is obtained as follows:

x² - 196 = (x + 14) x Width.

With the subtraction of perfect squares, we have that:

Width = x - 14.

More can be learned about the area of a rectangle at https://brainly.com/question/25292087

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