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Question

The diagram, given below, shows two paths drawn inside a rectangular field 80 m long and 45 m wide. The widths of the two oaths are 8 m and 15 m as shown. Find the area of the shaded portion.
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A
1195m2
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B
8895m2
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C
1155m2
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D
1895m2
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Solution

The correct option is A 1195m2
Given, rectangular field is 80 m long and 45 m wide.
Two paths are drawn inside the rectangular field. The widths of the two oaths are 8 m and 15 m.
The two paths intersect. The length and breath of the intersection is 8 m and 15 m.

Area of the shaded region =(8×80)+(15×45)(15×8)
=640+675120 sq. m
=1195 sq. m

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