Question : Let A be the area of a square whose each side is 10 cm. Let B be the area of a square whose diagonals are 14 cm each. Then (A – B) is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 4
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Correct Answer: 2
Solution :
Given: Let A be the area of a square whose each side is 10 cm. Let B be the area of a square whose diagonals are 14 cm each.
Area of the first square, A = (10)
2
= 100 cm
2
Each side of the second square = $\frac{14}{\sqrt2}$ = $7\sqrt2$ cm
So, the area of the second square, B = $(7\sqrt2)^2$ = 98 cm
2
Now, (A – B) = (100 – 98) = 2 cm
2
Hence, the correct answer is 2.
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