Area Problems Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is 0.75 m2 0.375 m2 1.5 m2 1.5 m2 0.75 m2 0.375 m2 1.5 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 If 88 m wire is required to fence a circular plot of land, then the area of the plot is? 556 m2 526 m2 None of these 616 m2 556 m2 526 m2 None of these 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 An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: 4.04% 4% 2% 2.02% 4.04% 4% 2% 2.02% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100 cm is read as 102 cm. ∴ A1 = (100 x 100) cm2 and A2 (102 x 102) cm2. (A2 - A1) = [(102)2 - (100)2] = (102 + 100) x (102 - 100) = 404 cm2. ∴ Percentage error = ❨ 404 x 100 ❩% = 4.04%
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? Data inadequate None of these 24 cm 18 cm Data inadequate None of these 24 cm 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 rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 104) sq m (4 x 102) sq m (4 x 103) sq m (4 x 10) sq m (4 x 104) sq m (4 x 102) sq m (4 x 103) sq m (4 x 10) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m
Area Problems The length and perimeter of a rectangle are the ratio of 5 : 18 What well be the ratio of its length and breadth? 3 : 5 4 : 7 4 : 3 5 : 4 3 : 5 4 : 7 4 : 3 5 : 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,l/[2(l + b)] = 5/18? 10l + 10b = 18l = 10b? l/b = 10/8 = 5/4? l : b = 5 : 4Hence, ratio of length and breadth of a rectangle is 5 : 4
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