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Question

Figure LMNO represents the top view of a house. Find the area of the shaded region in red.

A
3200 sq. in
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B
2540 sq. in
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C
1760 sq. in
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D
2660 sq. in
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Solution

The correct option is D 2660 sq. in
In the given figure LMNO,



RQ = 80 - 50 = 30 in
PQ = 40 - 22 = 18 in

Area of rectangle LMNO = length x breadth
=80×40
=3200sq.in

Similarly,
Area of rectangle LPQR = length x breadth
=30×18
=540sq.in

Area of shaded region = Area of rectangle LMNO - Area of rectangle LPQR.

=3200540

=2660sq.in


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