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 ?3 cm 3 cm 3?3 cm 9 cm ?3 cm 3 cm 3?3 cm 9 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 rectangle having 15m length and 8m breadth. 111 sq m 120 sq m 125 sq m 115 sq m 111 sq m 120 sq m 125 sq m 115 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
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 two parallel sides of a trapezium are 1 meters and 2 meters respectively . The perpendicular distance between them is 6 meters. The area of the trapezium is? 9 sq. meters . 6 sq. meters . 12 sq. meters . 18 sq. meters . 9 sq. meters . 6 sq. meters . 12 sq. meters . 18 sq. meters . ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x sum of parallel sides x perpendicular distance between them= 1/2 (1 + 2) x 6 m2= 9 m2
Area Problems The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is: 2520 m2 2480 m2 2420 m2 1520 m2 2520 m2 2480 m2 2420 m2 1520 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103. Solving the two equations, we get: l = 63 and b = 40. ∴ Area = (l x b) = (63 x 40) m2 = 2520 m2
Area Problems If the diagonals of a rhombus are 4.8 cm 1.4 cm, then what is the perimeter of the rhombus? 12 cm 20 cm 10 cm 5 cm 12 cm 20 cm 10 cm 5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter of rhombus= 2 ? d12 + d22 = 2 ?(4.8)2 + (1.4)2= 2 ?23.04 + 1.96 = 2 ?25 = 2 x 5 = 10 cm
EXAMIANS