Question

1. joyce wants to make a vegetable garden in her backyard for 6 different vegetables. she makes 6 sections in the garden. the dimensions of the garden are 3 sections long by 2 sections wide. each section is in the shape of a square. the area of the vegetable garden is 294 square feet. part a. what is the area of one section? part b. what is the length of the vegetable garden?

Explanation:

Step1: Calculate area of one - section

The garden is 3 sections long and 2 sections wide, so there are a total of $3\times2 = 6$ sections. The total area of the vegetable garden is 294 square feet. To find the area of one section, we divide the total area by the number of sections. Let $A$ be the area of one section. Then $A=\frac{294}{6}=49$ square feet.

Step2: Find the length of one - section

Since each section is in the shape of a square, and the area of a square is $A = s^{2}$, where $s$ is the side - length of the square. We know $A = 49$ square feet. Solving for $s$, we take the square root of the area. So $s=\sqrt{49}=7$ feet.

Answer:

Part A. The area of one section is 49 square feet.
Part B. The length of the vegetable garden section is 7 feet.