# 0492. Construct the Rectangle

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

## Description

A web developer needs to know how to design a web page's size. So, 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:

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.

Return *an array `[L, W]` where `L` and `W` are the length and width of the web page you designed in sequence.*

**Example 1:**

```
**Input:** area = 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.
```

**Example 2:**

```
**Input:** area = 37
**Output:** [37,1]
```

**Example 3:**

```
**Input:** area = 122122
**Output:** [427,286]
```

**Constraints:**

* `1 <= area <= 107`

## ac

```java
```