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Question

The given figure shows two paths drawn inside a rectangular field which is 80 m long and 45 m wide. The widths of the two paths are 8 m and 15 m as shown. Find the area of the shaded portion.

A
1195 m2
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B
1200 m2
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C
1320 m2
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D
1400 m2
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Solution

The correct option is A 1195 m2The length of rectangle is 80 mThe width of horizontal path of shaded region is 8 mThe area of horizontal path of shaded region is 80×8=640The breadth of rectangle is 45 mThe width of vertical path of shaded region is 15 mThe area of vertical path of shaded region is 45×15=675The shaded region which is common to both horizontal path and vertical path of shaded region is repeated twice. The area of common path of shaded region is 15×8=120.Therefore, the area of shaded region is 640+675−120=1195 m2.

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