Question

draw a square plot of side 12 centimetre and label its sides.draw a path of uniform width around and outside the plot .If the area of the path is 256 sq.cm,find the width of the path

Answer 1

Heya, ______________________________

Construct a small square ABCD, Construct a big square enclosing small one and name it EFGH

As inner dimensions are 12 cm × 12 cm

Now path area = 256 m^2

Outer area = 256 + 144
= 400 m^2

Area of square = side ^2
_/ 400 m^2 = side
20 m = side

Difference between = Outer length - inner length
= 20 m - 12 m

= 8 m

Now , 8m is we know that distance = ( EF and AB ) + ( CD and HG )

8 cm / 2 = Distance between each wall.

=4 cm

Hope it helps☺!✌