Question

একটি বর্গক্ষেত্রের বাহুর দৈর্ঘ্য 10% বৃদ্ধি করলে বর্গক্ষেত্রের ক্ষেত্রফল শতকরা কত বৃদ্ধি পাবে????
plz help​

Answer 1

Given:

একটি বর্গক্ষেত্রের বাহুর দৈর্ঘ্য 10%  

If the length of the side of a square is increased by 10%

To find:

বৃদ্ধি করলে বর্গক্ষেত্রের ক্ষেত্রফল শতকরা কত বৃদ্ধি পাবে?

What is the percentage increase in the area of ​​the square?

Solution:

Let,

"s" → the length of the side of the original square

"s'" → the length of the side of the new square

The length of the side of a square is increased by 10%

i,e., s' = $s + \frac{10}{100}s = \frac{110s}{100} = 1.1s$

The area of the original square = side² = s²

The area of the new square = s'² = (1.1s)² = 1.21s²

Now,

The percentage increase in the area of ​​the square is,

= $\frac{New \:Area - Old \:Area}{Old\:Area} \times 100$

= $\frac{1.21s - s}{s} \times 100$

= $\frac{0.21s}{s} \times 100$

= $\bold{21\%}$

Thus, the percentage increase in the area of ​​the square is → 21%.

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