Question : On increasing each side of a square by 50%, the ratio of the area of the new square formed and the given square will be:
Option 1: 9 : 5
Option 2: 9 : 3.5
Option 3: 9 : 7
Option 4: 9 : 4
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Correct Answer: 9 : 4
Solution :
Let the side of the square be 10 units.
Area of the square = 10 × 10 = 100 sq. units
New side of square after increment of 50% = $\frac{150}{100}\times10$ = 15 units
Area of new square = 15 × 15 = 225 sq. units
The required ratio of the new square and given square = 225 : 100 = 9 : 4
Hence, the correct answer is 9 : 4.
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