Area Problems In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are? 24 cm, 48 cm 12 cm, 24 cm 6 cm, 12 cm 6 ?2 cm, 12?2 cm 24 cm, 48 cm 12 cm, 24 cm 6 cm, 12 cm 6 ?2 cm, 12?2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm
Area Problems The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 103) sq m (4 x 102) sq m (4 x 104) sq m (4 x 10) sq m (4 x 103) sq m (4 x 102) sq m (4 x 104) sq m (4 x 10) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m
Area Problems A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field? 90/7 min 220/7 min 230/7 min 110/7 min 90/7 min 220/7 min 230/7 min 110/7 min ANSWER EXPLANATION DOWNLOAD EXAMIANS APP speed = 12 km/h = 12 × 5 18 = 10 3 m / s distance covered = 20 × 2 × 22 7 × 50 = 44000 7 m time taken = distance /speed = 44000 7 × 3 10 s e c = 4400 × 3 7 × 1 60 m i n = 220 7 m i n
Area Problems A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is rs.358 rs.158 rs.258 rs.58 rs.358 rs.158 rs.258 rs.58 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m cost of graveling = 344 x (75/100) = Rs. 258
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 15% 8.39% 12.36% 17% 15% 8.39% 12.36% 17% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
Area Problems The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 7 9 : 4 9 : 5 9 : 2 9 : 7 9 : 4 9 : 5 9 : 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
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