If one side of a square is represented by 18 – 20 and the adjacent s

1.	If one side of a square is represented by 18 – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.
Answer» Since, square has all sides equal ∴ 18x – 20 = 42 – 13x ⇒ 18x + 13x = 42 + 20 ⇒ 31x= 62 ⇒ x = 62/31 = 2 ∴ Side of square = 18 × 2 – 20 = 36 – 20 = 16 Thus, length of the side of the square is 16 units.

If one side of a square is represented by 18 – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.

Answer»

Since, square has all sides equal

∴ 18x – 20 = 42 – 13x

⇒ 18x + 13x = 42 + 20

⇒ 31x= 62

⇒ x = 62/31 = 2

∴ Side of square = 18 × 2 – 20 = 36 – 20 = 16

Thus, length of the side of the square is 16 units.