The perimeter of a square is 40 cm.Find its side and area
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Perimeter of a square = 4a (where a=side length)
40=4*a
Hence a=10cm
Now, Area= a^2
Area= (10)^2 = 10*10
Area= 100 cm^2
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Given:
- The perimeter o the square = 40 cm
To Find:
- The side and area of the square.
Solution:
1. To find the side of the square.
We know that,
perimeter of a square = 4×side → {equation 1}
On substituting the values in equation 1 we get,
⇒ 40 = 4×side
⇒ side = 40/4 {dividing the terms}
⇒ side = 10 cm
2. To find the area of the square.
We know that,
Area of square = side×side → {equation 2}
Now substitute the values in equation 2, we get,
⇒ Area of the square = 10×10 = 100 { multiplying the terms}
∴ The side of the square = 10 cm and the area of the square = 100.
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