a square lawn is surrounded by a path 2.5 metre wide the area of the p

1.	a square lawn is surrounded by a path 2.5 metre wide the area of the path is 165 metre square find the area of the Lawn
Answer» Answer: (14)2 or 196 M2. Step-by-step explanation: Answer. Consider the side of the lawn be x Given width of the PATH = 2.5m Side of the lawn including path = x + 2(2.5m) = x + 5m So, AREA of lawn = (Area of the lawn including the path) - (Area of the path) Area of a square = (side)2 Therefore, we say : x2 = (x + 5)2 – 165 m2 x2 = (x2 + 10x +25) - 165m2 x2 = x2+ 10x + 25 - 165 x2 = x2 + 10x - 140 x2 - 140 = x2 - 10x x2 - x2 - 140 = -10x -140 = -10x i.e 140 = 10x Therefore x = 140/10 = 14 Since the side of the lawn = 14 m The area of the lawn = (14)2 or 196 m2.

a square lawn is surrounded by a path 2.5 metre wide the area of the path is 165 metre square find the area of the Lawn

Answer»

Answer:

(14)2 or 196 M2.

Step-by-step explanation:

Answer.

Consider the side of the lawn be x

Given width of the PATH = 2.5m

Side of the lawn including path = x + 2(2.5m) = x + 5m

So, AREA of lawn = (Area of the lawn including the path) - (Area of the path)

Area of a square = (side)2

Therefore, we say :

x2 = (x + 5)2 – 165 m2

x2 = (x2 + 10x +25) - 165m2

x2 = x2+ 10x + 25 - 165

x2 = x2 + 10x - 140

x2 - 140 = x2 - 10x

x2 - x2 - 140 = -10x

-140 = -10x

i.e 140 = 10x

Therefore x = 140/10 = 14

Since the side of the lawn = 14 m

The area of the lawn = (14)2 or 196 m2.