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There is a rectangular field of dimensions 100 m and 80 m respectively. If a path of uniform width 10 m runs around and inside it. then the area of pa
Question

There is a rectangular field of dimensions 100 m and 80 m respectively. If a path of uniform width 10 m runs around and inside it. then the area of path will be:

A.

3400 m2^2​​

B.

3800 m2^2​​

C.

3200 m2^2​​

D.

3500 m2^2​​

Correct option is C

Given:
Length of a rectangular field is 100 meter
Breadth of rectangular field is 80 meter
There is a 10 meter wide path inside the field
Formula used :
Area=Length × Width
Solution:
Length of outer rectangle field = 100
Breadth of outer rectangle field = 80
Area of outer rectangle = length × breadth
                                       => 100 × 80
                                       => 8000 m2^2​​
Length of inner rectangle field = 100 - 20
                                                  => 80 m
Breadth of inner rectangle field = 80 - 20
                                                  => 60 m
Area of inner rectangle = 80 × 60
                                     => 4800 m2^2​​
Area of path = outer area - inner area
                     => 8000 - 4800 => 3200 m2^2​​

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