# The equations of two sides of a square are 5x – 12y – 65 = 0 and 5x – 12y + 26 = 0. Find the area of the square.

Given: Two side of square are 5x – 12y – 65 = 0 and 5x – 12y + 26 = 0

To find: area of the square

Explanation:

The sides of a square are

5x 12y 65 = 0 … (1)

5x 12y + 26 = 0 … (2)

We observe that lines (1) and (2) are parallel.

So, the distance between them will give the length of the side of the square.

Let d be the distance between the given lines.

Area of the square = 72
= 49 square units

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