Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 17 m 15 m 16 m 20 m 17 m 15 m 16 m 20 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems The area of an equilateral triangle whose side is 8 cms is? 64 cm2 16?3 cm2 4?3 cm2 21.3 cm2 64 cm2 16?3 cm2 4?3 cm2 21.3 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2
Area Problems Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is? 201 sq. metres 200 sq. metres 101 sq. metres 100 sq. metres 201 sq. metres 200 sq. metres 101 sq. metres 100 sq. metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the square field = 1 hectare = 10000 m2Side of the square = ? 10000 m = 100 mSide of another square field = 100 + 1 = 101 m? Required difference of area = [(101)2 - (100)2] m2=[(101 + 100 ) (101 - 100) ] m2= 201 m2
Area Problems The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be? 28 m2 25m2 30m2 None of these 28 m2 25m2 30m2 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2
Area Problems A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is? 400 4000 300 600 400 4000 300 600 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400
Area Problems One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is? 210 sq. cm 224 sq. cm 112 sq. cm 56? sq. cm 210 sq. cm 224 sq. cm 112 sq. cm 56? sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of parallelogram = Side of parallelogram x distance from the opposite side= 14 x 16 cm2= 224 cm2
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