Concept explainers
To find: the total area of the shaded region.
Answer to Problem 105E
The area of shaded region is,
Explanation of Solution
Given information:
The sides of a square are 16 inches in length.
Given figure
New squares are formed by joining the mild points of sides of the squares.
Process repeats 5 times.
Calculation:
The square has 16 inches length side.
New squares are formed by joining the mild points of sides of the squares.
This will results 4 isosceles right angled triangle with sides 8, 8,
Area of triangle can be found as shown:
Area of two triangles
The square has
New squares are formed by joining the mild points of sides of the squares.
This will results 4 isosceles right angled triangle with sides
Area of triangle can be found as shown:
Area of two triangles
Repeating the above process the geometric series will be
The sum of this series is,
We know that,
Substituting,
Therefore, the area of shaded region is,
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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