Area Problems The ratios of areas of two squares, one having its diagonal double than the other is 3:1 4:1 2:3 2:1 3:1 4:1 2:3 2:1 ANSWER DOWNLOAD EXAMIANS APP
Area Problems What is the area of a square having perimeter 68 cm? 361 sq cm 284 sq cm 269 sq cm 289 sq cm 361 sq cm 284 sq cm 269 sq cm 289 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq cm
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 41 cm 18 cm 20 cm 9 cm 41 cm 18 cm 20 cm 9 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? None of these 616 m2 526 m2 556 m2 None of these 616 m2 526 m2 556 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
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? 32.72 km/hr. 29.46 km/hr. 31.68 km/hr. 36.25 km/hr. 32.72 km/hr. 29.46 km/hr. 31.68 km/hr. 36.25 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 In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals? 5 cm 5.6 cm 5.5 cm 4 cm 5 cm 5.6 cm 5.5 cm 4 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We know that area of triangle = ( base x height ) / 2So area of triangle = (BC x AD) / 2 = (AC x BE) / 2 ? (10 x 4.4) / 2 = (11 x h) / 2? h= (10 x 4.4)/11 = 4 cm
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