Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? 75 None of these 50 No change 75 None of these 50 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 Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm. 44 84 22 64 44 84 22 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let a = 13, b = 14 and c = 15. Then, s = 1 2 a + b + c =21 (s- a) = 8, (s - b) = 7 and (s - c) = 6. Area = s s - a s - b s - c = 21 × 8 × 7 × 6 = 84 sq.cm
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 125% 56.25% 50% 53.75% 125% 56.25% 50% 53.75% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is? Cannot be determined 49 m 14 m 7 m Cannot be determined 49 m 14 m 7 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the square = (84 + 84) m2Area of the rectangle = (144 x width) m2From question both area would be same,? Width = (84 x 84) / 144 m = 49 m
Area Problems Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is? 3.5 meters 6.77 meters 7.7 meters 5.4 meters 3.5 meters 6.77 meters 7.7 meters 5.4 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters
Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 5 times 2 times 4 times 3 times 5 times 2 times 4 times 3 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
EXAMIANS