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. 730.80 Rs. 688.80 Rs. 735 Rs. 722.50 Rs. 730.80 Rs. 688.80 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 The length of a rectangular field is increased by 60 % . By what percent would the width have to be decreased to maintain the same area? 120% 75% 60% 371/2% 120% 75% 60% 371/2% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = L and breadth = BLet , New breadth = ZThen, New length = ( 160 / 100) L.= 8L / 5? 8L / 5 x Z = LBor Z = 5B/8Decrease in breadth = (B-5B/8)= 3B/8? Decrease in percent = (3B/8 x1/B ) x 100 %= 371/2%
Area Problems If a regular hexagon is inscribed in a circle of radius, r then its perimeter? 6r 12r 3r 9r 6r 12r 3r 9r ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of each side of hexagoan = radius of circle ? its perimeter = 6r
Area Problems The circumference of a circle is 25 cm. Find the side of the square incribed in the circle. 21/??3 cm 29/??3 cm 25/??2 cm 23/??2 21/??3 cm 29/??3 cm 25/??2 cm 23/??2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of the circle = 2?r = 25? r = 25 / (2?)According to the formula,Side of inscribed square = r?2 = 25 / (2?r x ?2) = 25 / (??2 ) cm
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? 14 meters 3.5 meters 12 meters 6 meters 14 meters 3.5 meters 12 meters 6 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 If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 13.52 sq.cm 15.12 sq.cm 12.62 sq.cm 10 sq.cm 13.52 sq.cm 15.12 sq.cm 12.62 sq.cm 10 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2