Question

a square lawn is surrounded by a path 4 metre wide around it if the area of path is 320 square metre find the area of lawn​

Answer 1

Answer:

256 sq m

Step-by-step explanation:

let the side be x

area of the inner square = $x^{2}$

area of the outer square = (x+8) square

(x+8)square - $x^{2}$ = 320

$x^{2}$ + 2*8*x + 8 square -$x^{2}$= 320

16x + 64 = 320

x = 16

Area of the lawn = S *S

                             =  16*16

                             = 256 sq m