Question

What is the perimeter of a \[4'\] square?

Answer 1

Hint: A perimeter is either a two-dimensional path that encompasses or surrounds or outlines a shape or its length (one dimensional). The perimeter of an ellipse or a circle is also known as the circumference.

Complete step-by-step solution:

A square is a quadrilateral with four equal sides and all of its inner angles being right angles. The length of a square's boundary is known as its perimeter. A square's perimeter is calculated by adding all of its sides together. Knowing that all of a square's sides are equal, its circumference would be \[4\] times its side.
Let \[P\] be the perimeter, and \[a\] be the length of one side of a square.
The formula to find the perimeter is given by,
\[P = a \times a \times a \times a\]
That is, \[P = 4a\]
In question, it is given that \[a = 4\] .
Therefore, the perimeter \[P = 4 \times 4 = 16\]
So, the answer is \[16\] .
Additional Information:
The perimeter can be calculated in a different variety of ways. The measured perimeter is the length of the fence required to completely enclose a yard or garden. The circumference or the perimeter of a wheel or circle determines how far it can roll in one revolution. Similarly, the perimeter of a spool is related to the sum of string wrapped around it; if the length of the string were exact, it would equal the perimeter.

Note: Keep in mind that the perimeter of a shape is the distance around it. Remember the formula used to find the perimeter of a square. That is the perimeter of a square \[P = 4a\] .