The length of a rectangular field is 300 m and it's breadth is 2/3 its length. If a road of width 10 m is built along the inner wall of the field, what is the area of the road?
To find the area of the road, we first need to calculate the dimensions of the rectangular field.
Given:
Length of the field = 300 m
Let's denote the breadth of the field as "b". According to the given information, the breadth is 2/3 of the length of the field.
So, breadth (b) = (2/3) * length = (2/3) * 300 = 200 m.
Now that we have the dimensions of the field, we can calculate the area of the field, including the road.
Area of the rectangular field = Length * Breadth
Area of the field = 300 m * 200 m = 60,000 square meters
To find the area of the road, we need to subtract the area of the inner portion (field) from the area of the entire rectangular field, including the road.
Since the road is built along the inner wall of the field, it will decrease the length and breadth of the field by twice the road width.
The decreased length = Length - 2 * road width = 300 m - 2 * 10 m = 280 m
The decreased breadth = Breadth - 2 * road width = 200 m - 2 * 10 m = 180 m
Area of the inner portion (field) = Decreased length * Decreased breadth
= 280 m * 180 m
Now, we can calculate the area of the road by subtracting the area of the inner portion from the area of the entire rectangular field.
Area of the road = Area of the field - Area of the inner portion
Therefore, Area of the road = 60,000 square meters - (280 m * 180 m) square meters
Calculating the final result will give us the area of the road.
so the field is 300 by 200 m
and the road would be 10 m by 300m
Surely you can find the area of the road.