In the given figure the perimeter of the square is 40m. Then find x.

1.	In the given figure the perimeter of the square is 40m. Then find x.
Answer» From the above figure, Side of square = (3x – 5) m Perimeter of square = 40 m ⇒4 × side = 40 ⇒ 4 × (3x – 5) = 40 ⇒ \(\frac {4(3x-5)}{4} = \frac {40}{4}\) (Divide by 4 on both sides) ⇒ 3x – 5 = 10 ⇒ 3x – 5 + 5 = 10 + 5 (Add 5 on both sides) ⇒ 3x = 15 ⇒ 3x/3 = 15/3 (Divide by 3 on both sides) ∴ x = 5 m

Answer»

From the above figure,

Side of square = (3x – 5) m

Perimeter of square = 40 m

⇒4 × side = 40 ⇒ 4 × (3x – 5) = 40

⇒ \(\frac {4(3x-5)}{4} = \frac {40}{4}\) (Divide by 4 on both sides)

⇒ 3x – 5 = 10

⇒ 3x – 5 + 5 = 10 + 5 (Add 5 on both sides)

⇒ 3x = 15

⇒ 3x/3 = 15/3 (Divide by 3 on both sides)

∴ x = 5 m

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