a.
The graph of the function
The graph of the given function is drawn and the height of one triangle is 6.9 ft.
Given:
The height of the triangle is:
Calculation:
The graph of the function
As per the given problem
Substitute the value of
Thus, the height of the triangle is 6.9 ft.
Conclusion:
The graph of the given function is drawn and the height of the triangle is 6.9 ft.
b.
The area of one triangle when
The area of one triangle is 27.6 ft2.
Given:
The base of the triangle is 8 ft.
From part (a), the height of the triangle when
Concept used:
Area of an isosceles triangle is
Where, b is the side and h is the height of the triangle.
Calculation:
Area of an isosceles triangle is
On substituting the values of b and h in the formula of area,
Thus, the area of one triangle is 27.6 ft2.
Conclusion:
The area of one triangle is 27.6 ft2.
c.
The area of the gazebo floor in square feet.
The area of the gazebo floor is 165.6 ft2.
Given:
From part (b), the area of one triangle is 27.6 ft2
Calculation:
The area of the hexagonal gazebo floor can be calculated by multiplying the area of triangle by 6 as there are 6 isosceles triangles.
Thus, Area of gazebo floor is
Conclusion:
The area of the gazebo floor is 165.6 ft2.
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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