Question

A path of width 2 m runs arounds a square garden of side 30 meters.find the area of the path

Answer 1

Answer:180

Step-by-step explanation:

Answer 2

Answer:

The area of the path is 1,024 m².

Step-by-step explanation:

The area of the path can be computed by subtracting the are of the small square from the big square.

The side of the small square is, a = 30 m.

The area of the small square is, $4a^{2}=4\times(30)^{2}=3600\ m^{2}$.

The side of the big square is, A = 30 m + 2 m + 2 m = 34 m.

The area of the big square is, $4A^{2}=4\times(34)^{2}=4624\ m^{2}$.

The area of the path is:

Area of Path = Area of the big square - Area of the small square

                     $=4624-3600\\=1024$

Thus, the area of the path is 1,024 m².