Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? ?3/4 cm 4 cm 4/?3 cm 3 cm ?3/4 cm 4 cm 4/?3 cm 3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is? 31.68 km/hr. 32.72 km/hr. 36.25 km/hr. 29.46 km/hr. 31.68 km/hr. 32.72 km/hr. 36.25 km/hr. 29.46 km/hr. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference = 2?r = 2 x (22 / 7) x 70 cm = 440 cm Distance travelled in 10 revolutions = 440 x 10 cm = 4400 cm = 44 m? Speed = distance / time= 44 / 5 m/sec= (44 / 5) x (18 / 5) km/hr = 31.68 km/hr
Area Problems The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is? 72.6 cms 42 ? 3 cms 126 cms 168 cms 72.6 cms 42 ? 3 cms 126 cms 168 cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.767 1.967 1.567 1.867 1.767 1.967 1.567 1.867 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 16 cm 13 cm 12 cm 14 cm 16 cm 13 cm 12 cm 14 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is? 184 176 192 162 184 176 192 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the room =(544 x 374) cm2size of largest square tile = H.C.F. of 544 & 374 = 34 cm Area of 1 tile = (34 x 34) cm2? Least number of tiles required = (544 x 374) / (34 x 34) = 176
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