Area Problems Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is 36° 18° 54° 40° 36° 18° 54° 40° ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let First angle = 3kSecond angle = 4kThird angle = 5k and Fourth angle = 8kWe know 3k + 4k + 5k + 8k = 360°? 20k = 360° ? k = 18 °Measure of smallest angle = 3k =3 x 18 ° = 54 °
Area Problems Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is 1.5 m2 0.75 m2 0.375 m2 1.5 m2 1.5 m2 0.75 m2 0.375 m2 1.5 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 3:1 1:2 4:1 2;3 3:1 1:2 4:1 2;3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
Area Problems Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is? 5.4 meters 6.77 meters 3.5 meters 7.7 meters 5.4 meters 6.77 meters 3.5 meters 7.7 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters
Area Problems The length of a plot is four times its breath. A playground measuring 1200 square meters occupies one third of the total area of a plot . what is the length of the plot in meters? None of these 20 30 60 None of these 20 30 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the plot = (3 x 1200) m2= 3600 m2Let breadth = y metersThen Length = 4y meters,Now area = 4y x y = 3600 m2? y2 = 900 m2? y = 30 m? Length of plot = 4y m= (4 x 30) m=120 m
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 56.25% 53.75% 50% 125% 56.25% 53.75% 50% 125% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
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