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

Question

zloy xaker [14]

3 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] · Answer 1 · 2022-06-12T20:43:55+03:00

Karolina [17]3 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] · Answer 2 · 2022-06-12T22:31:22+03:00

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.