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Question
this question has two parts. first, answer part a. then, answer part b. part a julia 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 96 square feet. what is the area of one section? ft² part b what is the length of the vegetable garden? ft
Step1: Calculate total number of sections
The garden is 3 sections long by 2 sections wide. So the total number of sections is $3\times2 = 6$ sections.
Step2: Find area of one - section
The area of the whole garden is 96 square feet. To find the area of one section, divide the total area of the garden by the number of sections. So the area of one section is $\frac{96}{6}=16$ square feet.
Step3: Find side - length of one section
Since each section is a square and its area $A = s^{2}=16$ square feet, then the side - length of one section $s = 4$ feet.
Step4: Find length of the garden
The garden is 3 sections long. Each section has a side - length of 4 feet. So the length of the garden is $3\times4 = 12$ feet.
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Part A: 16
Part B: 12