Question

Find the area of a square whose perimeter is 840m
​

Answer 1

Hey ! there

Answer:

• Area of square is 44100 m² .

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 ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

`\qquad \quad \underline{\boxed{\frak{Perimeter_((Square)) = 4 * Side }}}`

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

SOLUTION : -

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Side ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Substituting value of side as x in formula and equating it with 840 :

`\quad \longmapsto \qquad \: 4 * x = 840`

or ,

`\quad \longmapsto \qquad \:4x = 840`

Dividing with 4 on both sides :

`\quad \longmapsto \qquad \: \frac{ \cancel{4}x}{ \cancel{4}} = \cancel{ (840)/(4) }`

We get ,

`\quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}`

• Therefore , SIDE of square is " 210 " metres .

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Area ,

‎ ‎ ‎ ‎ ‎ ‎ ‎

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

`\: \qquad \: \qquad \: \underline{\boxed{\frak{Area_((Square)) = Side {}^(2) }}}`

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Now , substituting value of side as 210 in formula :

`\quad \dashrightarrow \qquad \: (210) {}^(2)`

or ,

`\quad \dashrightarrow \qquad \:210 * 210`

Multiplying 210 two times , We get :

`\quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^(2) }}}} \quad \bigstar`

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

• Henceforth , AREA of square having perimeter 840 m is ❝ 44100 square metres ❞

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

#Keep Learning

Answer 2

1. Area of square = 44,100 m²

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