Rectangle With Sigma With Pi

Algebra Level 2

The lenth of a rectangle is ∑ n = 1 3 n \sum_{n=1}^3 n and its area is ∏ k = 1 4 k \prod_{k=1}^4 k

Find its breadth


The answer is 4.

Kartik Kulkarni by Kartik Kulkarni , 20, India

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1 solution

Length = ∑ n = 1 3 n \sum_{n=1}^3 n = 1 + 2 + 3 = 6 = 1 + 2 + 3 = 6

Area = ∏ k = 1 4 k \prod_{k=1}^4 k = 1 × 2 × 3 × 4 = 24 = 1 \times 2 \times 3 \times 4 = 24

A r e a = L e n g t h × B r e a d t h Area = Length \times Breadth

B r e a d t h = A r e a L e n g t h Breadth =\frac {Area}{Length}

= 24 6 = \frac {24}{6}

= 4 = \boxed{4}

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