If the perimeter of a square is 52, then its area is
c) 961
do 310
b) 169
a) 2704
c) 625
d) 69
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If the perimeter of a square is 52, then its area is
c) 961
do 310
b) 169
a) 2704
c) 625
d) 69
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The correct option is option (b) 169
Area of square = 169 unit
Step-by-step explanation:
GIVEN
Perimeter of a square (P) = 52 unit
___________________________
To Find
Area of a square (A)
___________________________
Formulas of A Square
Area of square (A) = Side × Side = Side²
Perimeter of square (P) = 4a
Diagonal of square (D) = √2a
___________________________
We know that,
Area of square (A) = Side × Side = Side²
___________________________
To find the Area of square,
we need to find the side of a square
To find the side of a square,
Given
Perimeter of a square (P) = 52
___________________________
We know that,
Perimeter of square (P) = 4a
52 = 4 × a
a = 52 ÷ 4
a = 13
Side = 13 unit
The one side of a square is 13 unit
___________________________
To find the Area of square,
We know that,
Area of square (A) = Side × Side = Side²
Area of square (A) = 13 × 13
Area of square = 169
Area of square = 169 unit
Verified answer
Perimeter of a square = 4(side)
52 = 4(S)
Area of a square = (S)²
= (13)²
= 169
Hope it helps..........
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