Concept explainers
a.
To find: The dimension of the pond.
a.
Answer to Problem 36AYU
Dimension of the pond would be
Explanation of Solution
Given information:
A square pond has
Calculation:
As per the given information −
A square pond has
Let us suppose the side length of square pond is
Total perimeter of the border would be
Hence, dimension of the square pond would be
b.
To find: The dimension of the rectangular pond.
b.
Answer to Problem 36AYU
Dimension of the rectangular pond would be
Explanation of Solution
Given information:
A rectangular pond has
Calculation:
As per the given information −
A square pond has
Let us suppose the width of rectangular pond is
Total perimeter of the border would be
Hence, dimension of the rectangular pond would be
c.
To find: The dimension of the circular pond.
c.
Answer to Problem 36AYU
Dimension of the circular pond would be
Explanation of Solution
Given information:
A circular pond has
Calculation:
As per the given information −
A circular pond has
Let us suppose the diameter of circular pond is
Total perimeter of the border would be
Hence, diameter of the circular pond would be
d.
To find: Which pond has the most area.
d.
Answer to Problem 36AYU
Circular pond has most area.
Explanation of Solution
Given information:
Same as part
Calculation:
Dimension of the square pond is
Area of the square pond would be
Dimension of the rectangular pond is
Area of the rectangular pond would be
Diameter of the circular pond is
Area of the circular pond would be
Hence, circular pond has most area.
Chapter A Solutions
Precalculus
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