Question

The side in centimeters of a square of area 196 sq. cm. is A) 14 B) 49 C) 98 D) 7

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Answer 1

centimeters be x²

x²=196

x=√196

x=14

Answer 2

Given that , The Area of Square is 196 sq. cm .

Need To Find : Side of Square in centimeters.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider side of Square be a cm .

⠀⠀⠀⠀⠀》 Finding out Sides of of Square :

As , We know that ,

• Formula for Area of Square :

$\qquad \star \:\:\underline {\boxed {\purple {\pmb{\sf{\:Area_{(Square)}\:\:=\:\:a \times a \:(\:\:or\:a^2 \:\:)\:\:sq.cm \:}}}}}$

⠀⠀⠀⠀⠀Where ,

• a is the side of Square ,&
• Area of Square is 196 cm² .

$\qquad \dashrightarrow \sf Area_{(Square)}\:\:=\:\:a \times a \:\\\\\qquad \dashrightarrow \sf Area_{(Square)}\:\:=\:\:a^2 \:$

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}$

$\qquad \dashrightarrow \sf Area_{(Square)}\:\:=\:\:a^2 \:\\\\\qquad \dashrightarrow \sf 196\:\:=\:\:a^2 \:\\\\\qquad \dashrightarrow \sf a^2\:\:=\:\:196 \:\\\\\qquad \dashrightarrow \sf a\:\:=\:\sqrt{\:196} \:\\\\\qquad \dashrightarrow \sf a\:\:=\:\:14 \:\\\\\qquad \dashrightarrow \underline{\boxed {\pmb{\frak{\purple{ \:\: a\:\:=\:\:14 \:cm\:\:}}}}}\:\:\bigstar \:\:$

• Here a signifies the side of square which is 14 cm .

$\therefore \:\: \underline{\sf Hence, \:The \:Side \:of \;Square \:\:\bf 14 \:cm \:}.$