a.
To calculate: Area of the region between the square and
a.
Answer to Problem 17PSB
The area of the shaded region is
Explanation of Solution
Given: The side of the square ( a ) =
Concept used: Here, we are using the formula
Area of triangle =
Where. “ a ” is the side of the triangle
Area of square =
Where,
Calculation:The area of square is given as
Now, The area of triangle
=
=
So, the area of shaded region
Conclusion: Hence, the area of the required region
b.
To calculate:Area of the region between the hexagon and triangle.
b.
Answer to Problem 17PSB
The area of the shaded region is
Explanation of Solution
Given: The side of the hexagon is
Formula used:
Here, the formula is
Area of hexagon =
Calculation:
Area of hexagon =
→
Area of triangle =
→
Now, Area of shaded region =
→
Conclusion: Hence, the area of the required region is
c.
To calculate:Area of the region between the hexagon and rectangle.
c.
Answer to Problem 17PSB
The area of the shaded region is
Explanation of Solution
Given: The side of the hexagon is
Concept used: Here, we are using the formula
Area of rectangle =
Calculation: Tan
So, length =
And, breadth =
So, Area of rectangle =
Conclusion: Hence, the area of the shaded region is
Chapter 11 Solutions
Geometry For Enjoyment And Challenge
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