Question

A square lawn is surrounded by a 5m wide path. If the area of the path is 400m^2 find the area of the lawn​

Answer 1

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

Answer 2

Step-by-step explanation:

breath is 2( length + brath) 5+400=900