Question

A square garden has a perimeter 40m. What is its area?

Answer 1

GivEn:

• Perimeter of square = 40m

To finD:

• Area of square

Solution :

We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.

Calculating the side of square :

Given perimeter is 40m.

We know that,

◉Perimeter of square = 4× side

Let substitute values in formula:

Substituting values in formula :

Area of square = 4 × side

=> 40 = 4 × side

=> side = 40÷4

=> side = 10m

∴ Side of square is 10m.

Calculating area of square :

We found that side of square is 10m. To find it area, required formula is:

Formula using :

◉Area of square = (side)²

To find area, substitute values in formula :-

Substituting values in formula :-

Area of square = (side)²

=> Area of square = (10)²

=> Area of square = 10 × 10

=> Area of square = 100m²

∴ Area of this square garden is 100m²

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Answer 2

Question

A square garden has a perimeter 40m. What is its area?

Given

Square

• perimeter = 40m

To Find

area of the square

Solution

Formula for the perimeter of square is the sum of all the sides of the square.

${ \underline{ \boxed{ \sf{ \color{grey}{perimetre = 4a}}}}}$

Let the unknown side of square be a.

perimeter = 4a

☞ 40 = 4 × a

☞ a= 40/4

☞ a= 10 metre

Now

Area of the square is given by

${ \underline{ \boxed{ \sf{ \color{grey}{area = {side}^{2} }}}}}$

☞ area = 10²

☞ area = 100

so if the perimetre of square is 40m then the area is 100m.

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MORE to know

✏️area of rectangle= length× breath

✏️ perimetre of rectangle= 2× ( length+ breath)

✏️ volume = length× breath× height

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