Question

find the percentage increase in the area of a square .if each of its side is increased by 15% option ,32%,32.25%,33%,33.5%​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The percentage increase in the area will be 32.25%.

Step-by-step explanation:

Let the sides of the square are of length a.

So, the area will be, A = a².

Now, if each side of the square is increased in length by 15%, then the final length of each side of the square will become $a(1 + \frac{15}{100}) = 1.15a$.

Hence, the area of the new square will be, A' = (1.15a)(1.15a) = 1.3225a²

Therefore, the percentage increase in the area will be = $\frac{A' - A}{A} \times 100\%$

=  $\frac{1.3225a^{2} - a^{2}}{a^{2}} \times 100\%$

= 32.25% (Answer)