Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? None of these 556 m2 526 m2 616 m2 None of these 556 m2 526 m2 616 m2 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 base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 14 cm 13 cm 12 cm 16 cm 14 cm 13 cm 12 cm 16 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems The circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii? 44 meter 5 meter 7 meter 8 meter 44 meter 5 meter 7 meter 8 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m
Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:3 None of these 1:9 1:6 1:3 None of these 1:9 1:6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9
Area Problems The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? 18 cm None of these Data inadequate 24 cm 18 cm None of these Data inadequate 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2(l + b) = 5 b 1 ⟹ 2l + 2b = 5b ⟹ 3b = 2l b = 2 l 3 Then, Area = 216 cm2 ⟹ l x b = 216 ⟹l x 2 l = 216 3 ⟹ l2 = 324 ⟹ l = 18 cm
Area Problems The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height. 46/7 cm 26/7 cm 36/7 cm 56/7 cm 46/7 cm 26/7 cm 36/7 cm 56/7 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, area = 40 sq cm, base = 28 cm and height = perpendicular = ?Area = (base x perpendicular) / 2 ? 40 = (28 x perpendicular) / 2 ? perpendicular = 40/14 = 20/7 = 26/7 cm
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