Question

a. find the area of the garden. a = □ ft² b. zucchini plants require 9 square feet around each plant. how many zucchini plants can you plant?

Explanation:

Step1: Find length and width of the garden

The length of the garden can be found by calculating the vertical distance between two - points. Using the y - coordinates of two points on the vertical side, say $(1,1)$ and $(1,13)$, the length $l=13 - 1=12$ feet. The width of the garden can be found by calculating the horizontal distance between two points. Using the x - coordinates of two points on the horizontal side, say $(1,1)$ and $(7,1)$, the width $w = 7 - 1=6$ feet.

Step2: Calculate the area of the rectangle

The area formula of a rectangle is $A=l\times w$. Substituting $l = 12$ and $w = 6$ into the formula, we get $A=12\times6 = 72$ square feet.

Step3: Calculate the number of zucchini plants

If each zucchini plant requires 9 square feet, then the number of plants $n=\frac{A}{9}$. Substituting $A = 72$ into the formula, we get $n=\frac{72}{9}=8$ plants.

Answer:

a. $72$
b. $8$