Area Problems Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m. ? 1280 ? 1300 ? 1750 ? 1500 ? 1280 ? 1300 ? 1750 ? 1500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the carpet = Area of the room = 8 x 6 = 48 sq mWidth of the carpet = 75/100 = 3/4 mLength of the carpet = 48 x (4/3) = 16 x 4 = 64 m? Cost of carpeting = 64 x 20 = ? 1280
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 18 cm 41 cm 20 cm 9 cm 18 cm 41 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 The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 22 84 44 33 22 84 44 33 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 2 times 5 times 3 times 4 times 2 times 5 times 3 times 4 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
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 inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 84 m 70 m 77 m 56 m 84 m 70 m 77 m 56 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m
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