Area Problems A wheel make 4000 revolution in moving a distance of 44 km. Find the radius of the wheel. 1.75 m 28 m 25 m 27 m 1.75 m 28 m 25 m 27 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 revolution = (44 x 1000) / 4000 = 11 mAccording to the question, 2?r = 11 ? (44/7) x r = 11? r = (11 x 7) / 44 = 1.75 m
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 14 m 49 m 7 m Cannot be determined 14 m 49 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 A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park? 18 metres 13.4 metres 10 metres 12.8 metres 18 metres 13.4 metres 10 metres 12.8 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
Area Problems The dimensions of a room are 10m x 7m x 5m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1m x 3m. One window is of size 2m x 1.5m and the other 2 windows are of size 1m x 1.5m. The cost of painting the walls at Rs. 3 per sq m is Rs.174 Rs.274 Rs.374 Rs.474 Rs.174 Rs.274 Rs.374 Rs.474 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of 4 walls = 2(l+b)h=2(10+7) x 5 = 170 sq mArea of 2 doors and 3 windows = 2(1x3)+(2x1.5)+2(1x1.5) = 12 sq marea to be planted = 170 -12 = 158 sq m Cost of painting = Rs. 158 x 3 = Rs. 474
Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:4 3:1 9:1 1:3 3:4 3:1 9:1 1:3 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 ratio of the radii of two circle is 1:3 the radio of their areas is? None of these 1:3 1:6 1:9 None of these 1:3 1:6 1:9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9
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