find the area of square whose perimeter is equal to the perimeter. is equal to the perimeter of a rectangle of size 14 cm by 12 cm
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2
Answer:
length of rectangle = 14cm
width = 12 cm
therefore, perimeter = 2(14+12)
= 52cm
therefore , side of square = perimeter/number of sides
= 52/4
= 13cm
therefore, area of sq = side²
= 13²
= 169cm²
hope it helped :)
Answered by
15
To Find :-
- The area of square.
Solution :-
Given,
- Square perimeter = Rectangle perimeter
- Length of rectangle (l) = 14 cm
- Breath of rectangle (b) = 12 cm
We know that,
↪ Perimeter of rectangle = 2(l + b)
↪ Perimeter of rectangle = 2(14 + 12)
↪ Perimeter of rectangle = 2(26)
↪ Perimeter of rectangle = 52 cm
Given, Square perimeter = Rectangle perimeter
↪ Square perimeter = 52 cm
Now,
↪ Side of square = Square perimeter / Number of sides
[ Put the values ]
↪ Side of square = 52/4
↪ Side of square = 13 cm
As we know that,
↪ Area of square = (Side)²
[ Put the values ]
↪ Area of square = (13)²
↪ Area of square = 169 cm²
Therefore,
The area of square is 169 cm².
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