Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 5% 6% 9% 4% 5% 6% 9% 4% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems A rectangle has 15 cm as its length and 150 cm 2 as its area .Its area is increased to 1 1 / 3 times the original area by increasing only its length . Its new perimeter is? 60 cm 70 cm 50 cm 80 cm 60 cm 70 cm 50 cm 80 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Breadth of the rectangle = (150/15) cm= 10 cmNew area = (4/3 x 150) cm2= 200 cm2New length = 200/10 cm=20 cmNew perimeters = 2(20 + 10) cm= 60 cm
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? 3 cm 1/2 cm ? 3/4 ? 3/2 cm 3 cm 1/2 cm ? 3/4 ? 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 The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m 2 is? Rs. 722.50 Rs. 688.80 Rs. 730.80 Rs. 735 Rs. 722.50 Rs. 688.80 Rs. 730.80 Rs. 735 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP s = (13 + 14 + 15 ) / 2 = 21, s-a = 8 , s-b = 7, s-c= 6? Area to be painted = ? [s(s-a) (s-b) (s-c)]=? [21 x 8 x 7 x 6] m2= 84 m2? Cost of painting = Rs. (84 x 8.75) = Rs. 735
Area Problems A park is in the form of a square one of whose sides is 100 m . The area of the park excluding the circular lawn in the centre of the park is 8614 m 2. The radius of the circular lawn is? 31 m 41 m 21 m None of these 31 m 41 m 21 m None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of park = 100 x 100 = 10000 m2Area of circular lawn = Area of park - area of park excluding circular lawn= 10000 - 8614 = 1386Now again area of circular lawn = (22/7) x r2 = 1386 m2? r2 = (1386 x 7) / 22= 63 x 7= 3 x 3 x 7 x 7? r = 21 m
Area Problems What is the diameter of the circle having 3 cm radius? 12 cm 6 cm 1.5 cm 8 cm 12 cm 6 cm 1.5 cm 8 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm
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