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Question
Two figures can have the same area but different perimeters.
Options
True
False
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Solution
This statement is True.
Explanation:
Because the perimeter is the sum of all sides of closed shapes or polygons while the area is just bounded space insides.
Let’s take example of parallelogram
Their corresponding height and sides may different.
Thus, perimeter cannot be equal, even though area is equal.
Example:
Parallelogram 1: Side 1 = 6,
Side 2 = 3,
Height with side 1 base = 2.5
So, Area = 6 × 2.5 = 15
And perimeter = 2 × 6 + 2 × 3 = 12 + 6 = 18
Let, parallelogram 2: Side 1 = 5,
Side 2 = 3.5,
Height with side 1 base = 3
So, Area = 5 × 3 = 15
And perimeter = 2 × 5 + 2 × 3.5 = 10 + 7 = 17
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