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?
(300 * 200) - (280 * 180)
Step 1: Find the breadth of the rectangular field.
Given that the length of the field is 300 m and its breadth is 2/3 its length.
Therefore, the breadth of the field = (2/3) * 300 = 200 m.
Step 2: Find the area of the rectangular field.
The area of a rectangle is given by the formula: Area = Length * Breadth.
Therefore, the area of the field = 300 m * 200 m = 60,000 m^2.
Step 3: Find the area of the road.
The road is built along the inner wall of the field, which means it will reduce the length and breadth of the field by 10 m on all sides.
Therefore, the length of the field including the road = 300 m + 10 m + 10 m = 320 m.
And the breadth of the field including the road = 200 m + 10 m + 10 m = 220 m.
Step 4: Calculate the area of the road.
The area of the road = Area of the field including the road - Area of the field.
Therefore, the area of the road = (320 m * 220 m) - (300 m * 200 m) = 70,400 m^2.
So, the area of the road is 70,400 square meters.
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
Since the breadth of the field is 2/3 of its length, we can calculate it using the formula:
Breadth = (2/3) * Length
Substituting the value of the length into the formula, we get:
Breadth = (2/3) * 300
Simplifying the expression, we get:
Breadth = 200 m
Now, the road is built along the inner wall of the field, which means that it is parallel to the breadth of the field and has the same length as the breadth.
Width of the road = 10 m
To find the length of the road, we can subtract twice the width of the road from the length of the field:
Length of the road = Length of the field - 2 * Width of the road
Substituting the values, we get:
Length of the road = 300 - 2 * 10
Simplifying the expression, we get:
Length of the road = 300 - 20
Length of the road = 280 m
Now, we have the dimensions of the road (Length = 280 m, Width = 10 m), so we can calculate its area using the formula:
Area = Length * Width
Substituting the values, we get:
Area of the road = 280 * 10
Area of the road = 2800 m²
Therefore, the area of the road is 2800 square meters.