A field is 53 m long and 40 m wide. Inside the field, there is a path 1.5 all around. Find the area of the remaining field and also find the area of the path.
Answers
Answer:
1850 m² and 270 m²
Step-by-step explanation:
Area of entire field = 53 * 40 = 2120 m²
Area of remaining field = (53 - 2*1.5)*(40 - 2*1.5)
= 50 * 37 = 1850 m²
Area of path = 2120 - 1850 = 270 m²
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The area of the path is 270 m²
Given:
Length of the field = 53 m
Breadth of the field = 40 m
Width of the path = 1.5 m
To find:
The area of the path.
Solution:
Step 1 of 2:
A field is 53 m long and 40 m wide.
Therefore,
Area of the field = Length × Breadth
Length of the field = 53 m
Breadth of the field = 40 m
Area of the field = 53 × 40
Area of the field = 2120 m²
Step 2 of 2:
There is a path of 1.5 m all around.
Therefore,
Width of the path = 1.5 m
Area of the field without path = ( 53 - ( 2 × 1.5 ) ) × ( 40 - ( 2 × 1.5 ) )
Area of the field without path = ( 53 - 3 ) × ( 40 - 3 )
Area of the field without path = 50 × 37
Area of the field without path = 1850 m²
Area of the path = Area of field - Area of field without path
Area of the path = 2120 - 1850
Area of the path = 270 m²