Area Problems Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is 1.5 m2 0.375 m2 1.5 m2 0.75 m2 1.5 m2 0.375 m2 1.5 m2 0.75 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? 616 m2 556 m2 526 m2 None of these 616 m2 556 m2 526 m2 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? 1/2 cm ? 3/4 3 cm ? 3/2 cm 1/2 cm ? 3/4 3 cm ? 3/2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
Area Problems A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, than the radius of the circular ground is (take ? = 22/7) 7.5 m 5.5 m 10.5 m 3.5 m 7.5 m 5.5 m 10.5 m 3.5 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the radius of circular field = r m.Speed of person in m/s = 30/60 = 1/2m/sAccording to the question,[(2?r) /(1/2)] - [(2r)/(1/2)] = 30? 4?r - 4r = 30? [4 x (22/7) - 4]r =30? (125 - 4)r = 30 ? (8.5)r = 30? r = 30/8.5 = 3.5 m
Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 6 meters 3.5 meters 12 meters 14 meters 6 meters 3.5 meters 12 meters 14 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? No change 50 None of these 75 No change 50 None of these 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .
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