the area of the square is 144 CM square give the length of 1 of the sides of the squre
Answers
Answer:
the side of the square is 12 cm
Area of the Square = 144 sq.cm
\textsf{\underline{To find :-}}
To find :-
The measure of the side of the square.
\textsf{\underline{Solution :-}}
Solution :-
Area of the Square =
\tt{\implies \: side \times side}⟹side×side
Consider the side as x
\tt{\implies \: x \times x = 144}⟹x×x=144
\tt{\implies \: {x}^{2} =144 }⟹x
2
=144
\tt{\implies \: x = \sqrt{144} }⟹x=
144
The value of x is the Square root of 144
Square root :
\begin{gathered}\begin{array}{r|l}2 & 144 \\\cline{1-2} 2 & 72 \\\cline{1-2} 2 & 36\\ \cline{1-2} 2 & 18 \\\cline{1-2} 3 & 9\\\cline{1-2}3&3\\\cline{1-2}& 1 \end{array}\end{gathered}
2
\cline1−22
\cline1−22
\cline1−22
\cline1−23
\cline1−23
\cline1−2
144
72
36
18
9
3
1
144 = 2 × 2 × 2 × 2 × 3 × 3
Make pairs of common Factors and take only one from them.
Square root = 2 × 2 × 3
Square root = 12
\tt{\implies \: x = 12}⟹x=12
Therefore the Side of the Square is 12 cm long.
\textbf{\underline{Verification :-}}
Verification :-
\tt{\implies \: side \: \times side \: = 144}⟹side×side=144
\tt{\implies12 \times 12 = 144}⟹12×12=144
\tt{\implies144 = 144}⟹144=144
\therefore∴ LHS = RHS
\therefore∴ The side of the square is 12 cm
Answer:
12 cm
Step-by-step explanation:
Area formula of square = side x side
Area of the square = 144 cm
Side = 12 cm
More to know:
To find the side of a square if it's area is given we need to find its perfect square.