Area Problems A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is? 5.25 meters 21 meters 10.5 meters 7 meters 5.25 meters 21 meters 10.5 meters 7 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m
Area Problems What is the area of a square having perimeter 68 cm? 269 sq cm 289 sq cm 284 sq cm 361 sq cm 269 sq cm 289 sq cm 284 sq cm 361 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 If the sides of a squares is increased by 25%, then the area of the squares will be increased by 50% 125% 53.75% 56.25% 50% 125% 53.75% 56.25% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 9 cm 18 cm 20 cm 41 cm 9 cm 18 cm 20 cm 41 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 The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 33 22 44 84 33 22 44 84 ANSWER DOWNLOAD EXAMIANS APP
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 10 cm 20 cm 5 cm 12 cm 10 cm 20 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
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