find the total area of 12 squares whose sides are 12cm, 13cm,...23cm respectively.
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Hey Dear...
Here is your answer ☺
⏩To find total surface area of 12 squares we have to apply the formula for sum of squares of n natural numbers.
⏩Sum of squares of n natural numbers = n(n+1)(2n+1)/6
⏩Total surface area of 12 squares = 12² + 13² + ......... + 23²
⏩We have to find sum of squares from 1 up to 23 and subtract the sum of squares of series from 1 up to 11 from that.
= (1² + 2² + ......... + 23²) - (1² + 2² + ......... + 11²)
= [23(23+1)(2x23+1)]/6 - [11(11+1)(2x11+1)]/6
= (23 x 24 x 47)/6 - (11 x 12 x 23)/6
= 4324 - 506
= 3818 (ANSWER)
Hope it helps you out ⭐☺⭐
Thanks :-) ^_^
Here is your answer ☺
⏩To find total surface area of 12 squares we have to apply the formula for sum of squares of n natural numbers.
⏩Sum of squares of n natural numbers = n(n+1)(2n+1)/6
⏩Total surface area of 12 squares = 12² + 13² + ......... + 23²
⏩We have to find sum of squares from 1 up to 23 and subtract the sum of squares of series from 1 up to 11 from that.
= (1² + 2² + ......... + 23²) - (1² + 2² + ......... + 11²)
= [23(23+1)(2x23+1)]/6 - [11(11+1)(2x11+1)]/6
= (23 x 24 x 47)/6 - (11 x 12 x 23)/6
= 4324 - 506
= 3818 (ANSWER)
Hope it helps you out ⭐☺⭐
Thanks :-) ^_^
pugazhvanan:
omg thank you so much dear its really very simple and easy to understand thank you so much ♥♥♥♥
Ohh Your welcome dear :-) I'm very Happy to Help You Out ^_^
sry unfortunately i touch that report user button
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Hey wait Report User or Or Report Answer button?
report answer button
Ahhh then it's fine no worries...
while just scrolling i touched unfortunately
hmmm okie anyway heartfull of thanks dr for the help , :)
Your Welcome ^_^
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