Question

5) The fencing of a square garden is 100m in length. How long is one side of the
garden?​

Answer 1

$\large{\underline{\underline{\sf{ANSWER:}}}}$

Required side of square garden is 25cm

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$\large{\underline{\underline{\sf{EXPLANATION:}}}}$

Here in this question, concept of perimeter of square is used. We have given the length of fencing of square garden. We know that fencing is always done at the boundary of garden. So it means 100m is the length of perimeter. We have to find side of square, which we can easily find by applying formula for perimeter of square.

So let's start!

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$\large{\underline{\underline{\sf{GIVEN:}}}}$

Perimeter of square garden=100cm

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$\large{\underline{\underline{\sf{TO\;FIND:}}}}$

Side of square garden

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$\large{\underline{\underline{\sf{FORMULA\; APPLIED:}}}}$

★Perimeter of square=4×Side

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$\large{\underline{\underline{\sf{SOLUTION:}}}}$

Perimeter of square garden=100m     [Given]

4×Side=100m

Divide by 4 from both LHS and RHS.

Side=25cm.

So the required side of square garden is 25cm.

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$\large{\underline{\underline{\sf{ADDITIONAL\; INFORMATION:}}}}$

Important formulae:-

★ Area of square=Side²

★ Perimeter of rectangle=2(length+breadth)

★ Area of rectangle=Length×breadth

★ Area of triangle=½×Base×Height

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Answer 2

Given :-

• Shape = Square
• Perimeter of Square = 100m

To Find :-

• Each Side of the Garden

Solution :-

We Know that fencing is done on the boundary of a garden. So, in this question it is given that fencing of a square garden is 100m in length and we have to find the length of each side of the garden, for this we will apply Perimeter of Square as the garden is in the shape of Square.

⟶ Perimeter of Square = 4 × Side

⟶ 100 = 4 × Side

⟶ 100 ÷ 4 = Side

⟶ 25 = Side

Therefore, Each side of the Garden is of 25m

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★ Additional Info :

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

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