Question

a path of uniform width of 3 m runs around and inside a rectangular field of dimensions 50m by 30 m. find the area of path ​

Answer 1

Answer:

dimensions of rectangular field=50m×30m

area=50×30=1500

width of path=3m

we can find the area of path by subtracting the remaining area without including path

from total field

area without including the path=50-3×30-3

=47×27

=1269

area of path =area of total field-area of field excluding the area of path

=1500-1269

231m

Answer 2

Area of the path is 231 square meter.

Step-by-step explanation:

Given:

Length of the rectangular field = 50 m

Width of the rectangular field = 30 m

width of the uniform = 3 m

We need to find the area of path.

Solution:

First we will find the Total area.

Now we know that;

Area of the rectangular field is length times width.

framing in equation form we get;

Area of the rectangular field = $50\times 30 =1500 \ m^2$

Now we will find the area of the rectangular field without the uniform path.

Length of the rectangular field without the uniform path = 50 - 3 = 47 m

Width of the rectangular field without the uniform path = 30 - 3 =27 m

area of the rectangular field without the uniform path = $47\times 27 = 1269\ m^2$

Now Area of the path can be calculated by subtracting area of the rectangular field without the uniform path from Area of the rectangular field.

framing in equation form we get;

Area of the path = $1500-1269=231\ m^2$

Hence Area of the path is 231 square meter.