Question

a. find the area of the garden
a = 72 ft²
b. zucchini plants require 9 square feet around each plant. how many zucchini plants can you plant?
you can plant 8 zucchini plants.
c. you decide to use square tuvw to grow lettuce. you can plant four heads of lettuce per square foot. how many of each vegetable can you plant?
you can plant heads of lettuce and zucchini plants.

Explanation:

Step1: Recall the plant - space relationship

We know from part b that the area of the garden is 72 square feet. For zucchini plants, since each requires 9 square feet, the number of zucchini plants is calculated by dividing the total area by the area per plant. For lettuce, we are given that 4 heads can be planted per square foot.

Step2: Calculate the number of lettuce heads

If the area of the garden is 72 square feet and we can plant 4 heads of lettuce per square foot, then the number of lettuce heads is $4\times72 = 288$.

Step3: Calculate the number of zucchini plants

We already know from part b that if the area of the garden is 72 square feet and each zucchini plant requires 9 square feet, the number of zucchini plants is $\frac{72}{9}=8$.

Answer:

You can plant 288 heads of lettuce and 8 zucchini plants.