Respuesta :
Answer:
Area: 9cm²
Perimeter: 12 cm
Explanation:
Area is length x width
It's a square so length and width are the same
3 times 3 is 9
And to find the perimeter you just add the side lengths
Squares have 4 sides and the given side length is 3 so 3x4 OR 3+3+3+3 is how you get the perimeter.
[tex] \star \pink{\frak{Given}}[/tex]
[tex] \\ \\ [/tex]
- Side of a Square = 3cm
[tex] \\ \\ [/tex]
[tex] \star \blue{\frak{To \: find :}}[/tex]
[tex] \\ \\ [/tex]
- Area of a Square
- Perimeter of a Square
[tex] \\ \\ [/tex]
[tex] \star \orange{\frak{Solution :}}[/tex]
[tex] \\ \\ [/tex]
There are two parts in this question. In first part we have to find area and in second part we have to find perimeter of a Square.
[tex] \\ \\ [/tex]
[tex] \green{ \text{part \: 1}}[/tex]
[tex] \\ [/tex]
To find Area of a Square :
we know:
[tex]\bigstar \boxed{ \tt{Area \: of \: a \: Square = }{ \tt{side}^{2} }}[/tex]
[tex] \\[/tex]
So :
[tex] \\ [/tex]
[tex]\dashrightarrow \sf{Area \: of \: a \: Square = }{ \sf{side}^{2} }[/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Area \: of \: a \: Square = }{ \sf{3}^{2} }[/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Area \: of \: a \: Square = }{ \sf3 \times 3}[/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Area \: of \: a \: Square = }{ \sf9cm {}^{2} }[/tex]
[tex] \\ \\ [/tex]
[tex] \therefore \underline \textsf{ \textbf{Area \: of \: a \: square \: = \red{9 {cm} }}} \red{ \bf^{2}}[/tex]
[tex] \\ \\ [/tex]
[tex] \green{ \text{part \: 2}}[/tex]
[tex] \\ \\ [/tex]
To find perimeter of square :
[tex] \\ \\ [/tex]
[tex]\bigstar \boxed{ \tt{Perimeter \: of \: a \: Square = }{ \tt4 \times {side}}}[/tex]
[tex] \\ \\ [/tex]
So:
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Perimeter \: of \: a \: Square = }{ \sf4 \times side} \\ [/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Perimeter \: of \: a \: Square = }{ \sf4 \times 3} \\ [/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf{Perimeter \: of \: a \: Square = }{ \sf12cm} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \therefore \underline{ \textsf{ \textbf{perimeter \: of \: a \: square \: = \red{12cm}}}}[/tex]