Question

A rectangular field is of length 42m and width 24m. A path of width 2m is formed inside of the land adjoining all the four sides of the land. The remaining area of the field is (in sq. m.)

• A. 780
• B. 760
• C. 860
• D. 960

Answer 1

The Correct Option is B

The total area of the rectangular field is: \[ Total Area = Length \times Width = 42 \times 24 = 1008 \, sq. m. \] After forming the path, the new dimensions of the inner rectangle will be: \[ New Length = 42 - 2 \times 2 = 38 \, m., \quad New Width = 24 - 2 \times 2 = 20 \, m. \] The area of the inner rectangle is: \[ Inner Area = 38 \times 20 = 760 \, sq. m. \] The remaining area of the field is the inner area: \[ Remaining Area = 760 \, sq. m. \] To calculate the area after a path is formed inside, subtract twice the width of the path from both the length and width of the rectangle.