Question

If the side of a square is increased by 25% then its area is increased by:
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Answer 1

Answer:

The area will be increased by 25/16 times

Step-by-step explanation:

Let the side of a square be x

Therefore , area of the square = x²

Given , the side increase by 25%

side of square = x + 25%of x

So , the area of the new square will be

${(x + 25\% \: of \: x)}^{2} \\ \\ = {(x + \frac{25}{100} x)}^{2} \\ \\ = {(x + \frac{1}{4} x)}^{2} \\ \\ = {( \frac{4x + x}{4} })^{2} \\ \\ = { (\frac{5x}{4} )}^{2} \\ \\ = \frac{25 {x}^{2} }{16}$

Answer 2

Answer:

25/16

Step-by-step explanation:

intial area = x×x

final area =125x/100×125x/100