Examples with solutions for Powers and Roots: The perimeter of a square

Exercise #1

A square has a side length of

(3125)232 (\sqrt{3}\cdot\sqrt{12}-5)^2\cdot3^2 .

Calculate its perimeter.

Video Solution

Answer

36

Exercise #2

Given the area of the square ABCD is

3216 3^2\sqrt{16}

Find the perimeter.

Video Solution

Answer

36 36

Exercise #3

Given a square whose area is

(3212)+23 (3^2-1^2)+2^3

What is the perimeter of this square?

Video Solution

Answer

16 16

Exercise #4

ABCD is a square.

The length of the diagonal:
32×(3223)22 3\sqrt{2}\times\left(3^2-2^3\right)-2\sqrt{2}

AAABBBCCCDDDWhat is the perimeter of the square ABCD?

Video Solution

Answer

4