Area Problems If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle. 140 120 130 110 140 120 130 110 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP let length = x and breadth = y then 2(x+y) = 46 => x+y = 23 x²+y² = 17² = 289 now (x+y)² = 23² => x²+y²+2xy= 529 => 289+ 2xy = 529 => xy = 120 area = xy = 120 sq.cm
Area Problems A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park? 18 metres 13.4 metres 12.8 metres 10 metres 18 metres 13.4 metres 12.8 metres 10 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
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 ? 1750 ? 1300 ? 1500 ? 1280 ? 1750 ? 1300 ? 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 In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is? 7 cm 6 cm 5 cm 4 cm 7 cm 6 cm 5 cm 4 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? s= (13 + 5 + 12) / 2 cm = 15cms-a = 2 cm, s-b = 10 cm and s-c = 3 cm ? Area = ? (15 x 2 x 10 x 3 ) cm2= 30 cm2? (12 x h) / 2 = 30 ? h = 5 cm
Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 20 m 40 m 30 m 50 m 20 m 40 m 30 m 50 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
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 1.967 1.867 1.567 1.767 1.967 1.867 1.567 1.767 ANSWER DOWNLOAD EXAMIANS APP
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