7. The perimeter of a square is 36.4m. Find its area.
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Given,
Perimeter of a square: 36.m
To Find,
The area of the same square
Solution,
The perimeter of the square = 36.4m
All sides in a square are equidistant.
To find the side of the square we need to substitute it in the formula for perimeter:
4 × s= perimeter of a square
4(s)= 36.4
4s=36.4
s=
s= 9.1m
Now we have the side of a square:
s=9.1m
We can substitute it in the formula to find the area of the square:
Area =
Henceforth
Area=
Area= 82.81 meters squared
Henceforth, the area of a square is 82.81 meters squared, whose perimeter is 36.4 meters.
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