Maximum Area of Longest Diagonal Rectangle - Solution & Explanation

In this approach, we will iterate through all the given rectangles, compute the diagonal for each rectangle using the Pythagorean theorem, and keep track of the longest diagonal and corresponding area. If a longer diagonal is found, or if the diagonal length is the same but the area is larger, we will update our result.

The program iterates over each rectangle in the dimensions array, computes the diagonal using the Pythagorean theorem, and measures the area by multiplying its length and width. It maintains the maximum diagonal and respective area found so far.

Instead of calculating the square root for diagonal lengths during each comparison, precompute the square of the diagonals for all rectangles. This avoids the computational complexity of repeatedly taking square roots, making comparisons faster (using diagonal squares instead of actual lengths).

This C solution calculates the squared value of the diagonal lengths and avoids taking square roots during comparisons, improving performance by only utilizing integer operations.