Given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

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1. The area of the rectangular web page you designed must equal to the given target area. 2. The width W should not be larger than the length L, which means L >= W. 3. The difference between length L and width W should be as small as possible. |

You need to output the length L and the width W of the web page you designed in sequence.

Example:

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Input: 4 Output: [2, 2] Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. But according to requirement 2, [1,4] is illegal; according to requirement 3, [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2. |

Note:

- The given area won’t exceed 10,000,000 and is a positive integer
- The web page’s width and length you designed must be positive integers.

## Solution

According to the requirement 3 difference between L and W should be as small as possible. That is why we will start with the square-root of the area.

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public int[] constructRectangle(int area) { int width = (int)Math.sqrt(area); while (area % width != 0) { width--; } return new int[]{area/width , width}; } |

Next : Java interview question Binary Tree Path

**References**

https://leetcode.com/problems/construct-the-rectangle/