Square with Sigma

Algebra Level 1

If the area of a square is ∑ n = 4 5 n \displaystyle\sum_{n=4}^5 n then find the lenth of the side of that Square


The answer is 3.

Kartik Kulkarni by Kartik Kulkarni , 20, India

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2 solutions

Tytan Le Nguyen
Jan 18, 2015

The area is just 4 + 5 4+5 , or 9, so the side length is the square root is 9, which is 3.

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Nikhil Raj
May 30, 2017

AREA = ∑ n = 4 5 n = 4 + 5 = 9 ⇒ a 2 = 9 ⇒ a = 9 ∴ a = 3 \displaystyle \sum_{n=4}^5 n = 4 + 5 = 9 \\ \Rightarrow a^2 = 9 \\ \Rightarrow a = \sqrt9 \\ \therefore a = \boxed{3}

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