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Question
If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.
Solution
Given, one side of a square is 18x – 20 and the adjacent side is 42 – 13x.
We know that all the sides of a square are always equal.
∴ 18x – 20 = 42 – 13x
⇒ 18x + 13x = 42 + 20
⇒ 31x = 62
⇒ x = `62/31` = 2 units
Hence, side of the square is (18 × 2) – 20 = 36 – 20 = 16 units.
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