210 students were asked whether they want to go to a water park or a roller skating rink for a class party. 50 students are girl
s who want to go to the water park. 45 students are girls who want to go skating. 60 students are boys who want to go to the water park. Answer the questions to analyze the data. 1. Use the given information to fill in the two-way table.
1 answer:
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Answer:
The area of the smallest section is
The area of the largest section is
The area of the remaining section is
Step-by-step explanation:
Please see the picture below.
1. First we are going to name the side of the larger square as x.
As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:
- Area of the first section:
- Area of the second section:
(Eq.1)
- Area of the third section:
(Eq.2)
2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:
Replacing values:
Solving for x:
3. Replacing the value of x in Eq.1 and Eq.2:
- From Eq.1:
- From Eq.2:
