a square lawn is surrounded by a 5m wide path . if the area of the pat

1.	a square lawn is surrounded by a 5m wide path . if the area of the path is 400m2 , find the area of the lawn. first answer with step by step explanation is the brainlist..
Answer» Answer: 225 m² Step-by-step explanation: Let length of side of lawn = X So, the AREA of the lawn = x * x = x² Now, given width = 5 m So, the length increased by 5 + 5 = 10 m Now, area of the path including width = (x + 10)(x + 10) Given, area of the path = 400 => (x + 10)(x + 10) - x² = 400 ⇒ 20x = 300 => x = 15 So, the side of the lawn = 15 m Hence, area of the lawn = (15)² = 225 m² Hope it HELPS! If helped, Brainliest it!

a square lawn is surrounded by a 5m wide path . if the area of the path is 400m2 , find the area of the lawn. first answer with step by step explanation is the brainlist..

Answer»

Answer:

225 m²

Step-by-step explanation:

Let length of side of lawn = X

So, the AREA of the lawn = x * x = x²

Now, given width = 5 m

So, the length increased by 5 + 5 = 10 m

Now, area of the path including width = (x + 10)*(x + 10)

Given, area of the path = 400

=> (x + 10)*(x + 10) - x² = 400

⇒ 20x = 300

=> x = 15

So, the side of the lawn = 15 m

Hope it HELPS! If helped, Brainliest it!