Respuesta :
Answer:
- Area of square = 44,100 m²
Step-by-step explanation:
Given :-
- Perimeter of square = 840 cm
To find :-
- Area of sqaure
Solution :-
The find area of sqaure firstly we need to find the length of each side of the sqaure.
We know that,
Perimeter of rectangle = 4 × side
→ 840 = 4 × side
→ 840/4 = side
→ 210 m = side
- Side of square is 210 m
→ Area of rectangle = (Side)²
→ Area = (210)²
→ Area = 44,100 m²
- Hence, Area of the square is 44,100 m²
Hey ! there
Answer:
- Area of square is 44100 m² .
Step-by-step explanation:
In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .
For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .
We know that ,
[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]
SOLUTION : -
✼ Finding Side ,
Substituting value of side as x in formula and equating it with 840 :
[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]
or ,
[tex] \quad \longmapsto \qquad \:4x = 840[/tex]
Dividing with 4 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]
- Therefore , SIDE of square is " 210 " metres .
✼ Finding Area ,
We know that ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]
Now , substituting value of side as 210 in formula :
[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]
or ,
[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]
Multiplying 210 two times , We get :
[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]
- Henceforth , AREA of square having perimeter 840 m is ❝ 44100 square metres ❞
