area of a square if sum of its diagnals is 100 cm
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area of a square if sum of its diagnals is 100 cm
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Diagonals of a square are equal
So, length of a diagonal = 50 cm
Diagonal = side √2
So, side of the square = 50/ √2 or 25 √2
Area of the square = side × side
= 25 ✓2 × 25√2
= 1250 cm²
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