Question

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

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

Answer 1

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
$=80\times 40$
$=3200sq.in$

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

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

$=3200-540$

$=2660sq.in$