a rectangular garden plot is 18 feet long and 12 feet wide. The owner of the garden wants to plant tomato plants in the plot. Each plant needs a space that is approximately 2ft by 2ft. Which estimate best approximates the number of tomato plants that can be planted in the plot?

Respuesta :

area of garden: 18 x 12 = 216 square feet

area for plant: 2 x 2 = 4 square feet

216 / 4 = 54 total plants

Answer:  The number of tomato plants that can be planted in the plot is 54.

Step-by-step explanation:  Given that a rectangular garden plot is 18 ft long and 12 ft wide. The owner of the garden wants to plant tomato plants in the plot where each plant needs a space that is approximately 2 ft by 2 ft.

We are to find the best approximation of the number of tomato plants that can be planted in the plot.

Let n denotes the number of tomato plants that can be planted in the plot.

Now, the area of the rectangular garden is

[tex]A_r=18\times12=216~\textup{sq. ft.}[/tex]

And, the area needed by each of the tomato plants is

[tex]A_t=2\times2=4~\textup{sq. ft.}[/tex]

Therefore, the required number of tomato plants that can be planted in the plot is given by

[tex]n=\dfrac{A_r}{A_t}=\dfrac{216}{4}=54.[/tex]

Thus, the number of tomato plants that can be planted in the plot is 54.