The perimeter of a square garden is 444 metre Find the area of the garden.
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Given :-
- Shape of Garden = Square
- Perimeter of Garden = 444m
To Find :-
- The Area of the Garden
Solution :-
For finding the Area of the Garden first we need it's side, and perimeter of the Garden is given , so will apply the formula of Perimeter of Square to find the side of the Garden.
⟹ Perimeter of Square = 4 × Side
⟹ 444 = 4 × Side
⟹ 444 ÷ 4 = Side
⟹ 111m = Side
Now,
⟹ Area of Square = (Side)²
⟹ Area of Square = Side × Side
⟹ Area of Square = 111 × 111
⟹ Area of Square = 12,321m²
Therefore, Area of Garden = 12,321m²
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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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Step-by-step explanation:
A=12321m²
P Perimeter
444
m
Using the formulas
A=a2
P=4a
Solving forA
A=1
16P2=1
16·4442=12321m²
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