(a)
To find: The perimeter and the area of the square.
(a)
Answer to Problem 33E
The perimeter and the area of the square are
Explanation of Solution
Given information: The diagram is given below.
Formula used:
Calculation: From the diagram,
Therefore, the area will be
Similarly, the perimeter,
(b)
To Explain: The joining midpoints of the square make a quadrilateral.
(b)
Answer to Problem 33E
The formed quadrilateral is a square.
Explanation of Solution
Given information: The diagram is given below.
Formula used:
Calculation: Get the mid-points and then connect them,
Therefore, the distance of the midpoints,
The formed quadrilateral is also a square because each sides of quadrilateral are equal.
(c)
To Explain: The area and the perimeter of the formed quadrilateral and compare with area of part (a).
(c)
Answer to Problem 33E
The area and the perimeter of the formed quadrilateral are
Explanation of Solution
Given information: The diagram is given below.
Formula used:
Calculation: The area of the quadrilateral will be,
The perimeter of the quadrilateral will be,
The area and the perimeter of the formed quadrilateral are
Therefore, both area and the perimeter of the formed inner square are approx half of the given square.
Chapter 8 Solutions
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