Question

27. The area of the square is 900 cm². The
perimeter of a square is
(a) 400 m
(b) 120 m
(c) 240 m
(d) 196 m​

Answer 1

Answer:

120m

These is the answer of your question

Answer 2

${\large{\underline{\pmb{\frak{Given...}}}}}$

→ The area of the square is 900 cm²

${\large{\underline{\pmb{\frak{To \; Find...}}}}}$

→ The measure of the perimeter of the square

${\large{\underline{\pmb{\frak{Let's \; understand \; the \; concept...}}}}}$

❍ Concept : As we have been given the measure of the area of the square which is 900cm² and said to find the measure of the perimeter of the square so, now let's firstly find the measurement of the side of the square.

✰ And then with the help of the measurement of the side let's use the formula to find the perimeter of a square and substitute the value of th sid and find the perimeter

${\large{\underline{\pmb{\frak{Using \; Concepts...}}}}}$

✪ Formula to find the area of a square :

$\tt Area \; of \; a \; square = Side \times Side$

✪ Formula to find thee perimeter of a square :

$\tt Perimeter \; of \; a \; square = 4 \times Side$

${\large{\underline{\pmb{\sf{RequirEd \; Solution...}}}}}$

★ The perimeter of the square is 120cm

${\large{\underline{\pmb{\frak{Full \; solution...}}}}}$

~As we know that the area of the square is 900cm² so, let's use the below mentioned formula to find it's side

→ Formula,

• Area of a square = Side × Side

~ Now let's substitute the values and find the measure of the side

${ : \implies} \textsf{ Area of the square } \sf = Side^{2}$

${ : \implies} \sf 900cm^2 = Side ^2$

${ : \implies} \sf Side = \sqrt{900cm^2}$

${ : \implies} \sf Side = 30cm$

• Henceforth the side of the square is 30cm

~ Now let's find the perimeter of the square using the formula mentioned below

→ Formula,

• Perimeter of a square = 4 × Side

~ Now let's substitute the value of thee side of the square and find the perimeter.

${ : \implies} \sf Perimeter \; of \; the \; square = 4\times Side$

${ : \implies} \sf Perimeter \; of \; the \; square = 4 \times 30cm$

${ : \implies} \sf Perimeter \; of \; the \; square = 120cm$

• Henceforth the perimeter of the square is 120cm

${\large{\underline{\pmb{\frak{Additional \; Information...}}}}}$

⋆ Related Formulas,

$\;\;\;\;\;{\leadsto} \tt Perimeter \; of \; a \; rectangle = 2(L+ B )$

$\;\;\;\;\;{\leadsto} \tt Area \; of \; a \; rectangle = L \times B$

$\;\;\;\;\;{\leadsto} \tt Area \; of \; a \; triangle = \dfrac{1}{2} \times B \times H$

$\;\;\;\;\;{\leadsto} \tt Area \; of \; a \; parallelogram = B \times H$

$\;\;\;\;\;{\leadsto} \tt Perimeter \; of \; a \; circle = 2\pi r$

⋆ Diagram,

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 30\ cm}\put(4.4,2){\bf\large 30\ cm}\end{picture}$