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zloy xaker [14]
2 years ago
5

A student is given the rectangle and square. The student states that the two figures have the same perimeter. Is the student per

fect? Explain your reasoning.
Mathematics
2 answers:
Karolina [17]2 years ago
7 0
The student is correct. Due to the meaning of perimeter which is all sides added up to make a number total, it is possible for a square and a rectangle to have the same perimeter if the numbers add up.
s2008m [1.1K]2 years ago
4 0

Answer:

Perimeter of rectangle = 2×[Length +Breadth]

Perimeter of Square=4 × Side

If both Rectangle and Square has Same Perimeter

   →4 ×Side=2×[Length +Breadth]

 Dividing both sides by 2

→2 ×Side=Length +Breadth

So, if sum of length and breadth of rectangle is equal to side of square multiplied by 2,then perimeter of rectangle and square will be equal.

Suppose, Length=4 units

Breadth =6 units

Then,2×Side of Square=(4+6)

  Then , Side of Square=5 units

⇒So,there are infinite dimensions of Square and rectangle possible such that both have same perimeter.

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