Question

QUESTION : PERIMETER OF A SQUARE, WHOSE AREA IS 144CM² IS :
a) 40 cm
b) 48 cm
c) 50 cm
d) 96 cm









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Answer 1

PERIMETER OF SQUARE IS 48 cm

Answer 2

★ Answer -

• Option b) is correct.

• The perimeter of the square = 48 cm.

★ To find -

• The perimeter of a square whose area is 144 cm².

★ Step-by-step explanation -

• Before finding the perimeter of the square, let's find the length of its each side!

We know that -

$\bigstar \: \underline{ \boxed{ \sf Area_{(square)} = Side \times Side}}$

Here -

• Area of the square = 144 cm².

Therefore -

$\implies\bf 144 = Side \times Side$

$\implies \bf144 = {(Side)}^{2}$

$\implies \bf \sqrt{144} = Side$

$\implies\bf12 \: cm = Side$

________________________________

• Now, as we know the length of each side of the square, let's find its perimeter!

We know that -

$\bigstar \: \underline{ \boxed{ \sf Perimeter_{(square)} = 4 \times Side}}$

Here -

• Each side of the square = 12 cm.

Therefore -

$\tt \longmapsto \: Perimeter_{(square)} = 4 \times 12$

$\longmapsto \: \tt Perimeter_{(square)} = 48 \: cm$

Hence -

• The perimeter of the square = 48 cm.

• Option b) is correct.

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