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? 10 metres 13.4 metres 18 metres 12.8 metres 10 metres 13.4 metres 18 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 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? 70 cm 60 cm 50 cm 80 cm 70 cm 60 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 wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is 9 cm ?3 cm 3?3 cm 3 cm 9 cm ?3 cm 3?3 cm 3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm
Area Problems Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm. 44 22 64 84 44 22 64 84 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 The ratio of the radii of two circle is 1:3 the radio of their areas is? 1:6 1:3 None of these 1:9 1:6 1:3 None of these 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
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 1:2 4:1 3:1 2;3 1:2 4:1 3:1 2;3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
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