Question

find perimeter of square whose area is 188 cm​

Answer 1

Step-by-step explanation:

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Answer 2

Question :-

Find perimeter of square whose area is $188 cm^2.$

Given :-

• Area of the square :- $\bold {188 cm^2}.$

To Find :-

• Perimeter of the square.

Solution :-

We know that,

Area of a square with side a = $a^2.$

$\because Area\; of\; the \;square = {188 cm^2.}$

$\therefore a^2 = {188 cm^2.}$

$\implies a = \sqrt {188}cm.$

$\implies a = \sqrt {2×2×47} cm.$

$\implies \boxed { a = 2\sqrt {47}cm.}$

**Now, we need to find the perimeter of the square.

Perimeter of a square = 4 × a.

$\because Side \; of \; the \;square( a )= 2\sqrt {47}cm.$

$\therefore Perimeter \; of \;the \; square= 4a = 4 × 2\sqrt {47}cm.$

$\implies 4a = 8\sqrt {47}cm.$

${Perimeter \; of \; the \; square (4a) =8\sqrt {47}cm}.$

Answer :-

${\red {\boxed{Perimeter \; of \; the \; square (4a) =8\sqrt {47}cm}}}$