Skip to main content
impol.dev

Maximum Area of Longest Diagonal Rectangle

Easy

You receive a 2D 0-indexed integer array dimensions.

For all indices i, 0 <= i < dimensions.length, dimensions[i][0] represents the length and dimensions[i][1] represents the width of the rectangle i.

Find and provide the area of the rectangle having the longest diagonal.

If there are multiple rectangles with the longest diagonal, provide the area of the rectangle having the maximum area.

Example 1

Input: dimensions = [[9,3],[8,6]]

Output: 48

Explanation: For index = 0, length = 9 and width = 3. Diagonal length = sqrt(9 * 9 + 3 * 3) = sqrt(90) ≈ 9.487.

For index = 1, length = 8 and width = 6. Diagonal length = sqrt(8 * 8 + 6 * 6) = sqrt(100) = 10.

So, the rectangle at index 1 has a greater diagonal length therefore we provide area = 8 * 6 = 48.

Example 2

Input: dimensions = [[3,4],[4,3]]

Output: 12

Explanation: Length of diagonal is the same for both which is 5, so largest area = 12.

Constraints

  • 1 <= dimensions.length <= 100
  • dimensions[i].length == 2
  • 1 <= dimensions[i][0], dimensions[i][1] <= 100

Did this problem appear in one of your interviews?

Responses stay private.

Acceptance rate: 0%