Question

a square lawn is surrounded by a path 2 metre wide if the area of path is 240m square find the area of lawn​

Answer 1

Answer:

please refer to the attachment

Answer 2

AnswEr :

• Interior Sides of Square lawn be a m
• Exterior Sides = (Side + 2 × width) = (a + 2 × 2) = (a + 4) m
• Area of Path = 240 m²
• Area of Square Lawn?

⋆ Refrence of Image is in Attachment :

• According to the Question Now :

⇒ Area of Path = Ext. Area - Int. Area

⇒ Area of Path = (Ext. Sides)² - (Int. Sides)²

⇒ 240 = ( a + 4 )² - ( a )²

⇒ 240 = a² + 16 + 8a - a²

⇒ 240 = 16 + 8a

⇒ 240 - 16 = 8a

⇒ 224 = 8a

• Dividing both term by 8

⇒ a = 28 m

◗ Interior Side ( a ) = 28 m

━━━━━━━━━━━━━━━━━━━━━━━━

• A R E A ⠀O F ⠀L A W N :

↠ Area = ( Sides )²

↠ Area = ( 28 m )²

↠ Area = ( 28 m × 28 m )

↠ Area = 784 m²

∴ Area of Square Lawn is 784 m².

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