Area Problems The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle? 255 sq cm 265 sq cm 235 sq cm 245 sq cm 255 sq cm 265 sq cm 235 sq cm 245 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm
Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:4 1:3 9:1 3:1 3:4 1:3 9:1 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
Area Problems The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively. 6 cm and 10 cm 14 cm and 6 cm 10 cm and 8 cm 8 cm and 9 cm 6 cm and 10 cm 14 cm and 6 cm 10 cm and 8 cm 8 cm and 9 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm
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? None of these 24 cm Data inadequate 18 cm None of these 24 cm Data inadequate 18 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 length of a rectangle is double while its breadth is halved. What is the percentage change in area? 50 75 None of these No change 50 75 None of these No change 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 .
Area Problems The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm 2 . Therefore , the length of the rectangle is? 30 cm 20 cm 40 cm 50 cm 30 cm 20 cm 40 cm 50 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = b, length = 2b? Area of rectangle = 2b x b = 2b2As per question. ? (2b - 5 ) (b + 5 ) = 2b2 + 75? 5b = 75 + 25? 5b = 100? b = 100 / 5 = 20Hence, length of the rectangle =2b = 2 x 20 = 40 cm.
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