If a side of square is increased by 50% then its area will be increased by

Correct option is B

Given:
The side of the square is increased by 50%.
Formula Used:

Area = Side²

Solution:

Let the initial side of square 10 m.

Initial Area = 10² = 100 sq m

After increased side = 10 + $$10 \times \frac{50}{100}$$ = 10 + 5 = 15

New Area = 15² = 225

Increase = 225 - 100 = 125

Increase% = $$\frac{125}{100}\times 100 = 125\%$$

So, the area will be increased by 125%.

Thus, the correct answer is (b).

Alternative Method:

Initial side : New side

2 : 3

​Initial area : New area

4 : 9 

Increase% = $$\frac{9-4}{4}\times 100 = \frac{5}{4}\times 100 = 125\%$$​​