Question

square law has 2 metre wide path surrounding it the area of the path is 136 metre square find area of lawn
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Answer 1

Step-by-step explanation:

Let ABCD be the square lawn and PQRS be the outer boundary of the square path.

Let one side of the lawn (AB) be x m.

Area of the square lawn = x2

Length PQ = (x m + 2 m + 2 m) = (x + 4) m

∴ Area of PQRS = (x + 4)2 = (x2 + 8x + 16) m2

Now, Area of the path = Area of PQRS − Area of the square lawn

⇒ 136 = x2 + 8x + 16 − x2

⇒ 136 = 8x + 16

⇒ 136 − 16 = 8x

⇒ 120 = 8x

∴ x = 120 ÷ 8 = 15

∴ Side of the lawn = 15 m

∴ Area of the lawn = (Side)2 = (15 m)2 = 225 m2

Answer 2

Answer:

225m^2

Step-by-step explanation:

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