Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 16 m 17 m 15 m 20 m 16 m 17 m 15 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 altitude of an equilateral triangle of side 2 ? 3 cm is? ? 3/4 1/2 cm 3 cm ? 3/2 cm ? 3/4 1/2 cm 3 cm ? 3/2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
Area Problems The Area of a square is 50 sq. units. Then the area of the circle drawn on its diagonal is? None of theas 100? sq. units 25? sq. units 50? sq. units None of theas 100? sq. units 25? sq. units 50? sq. units ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = (Diagonal)2 / 2 = 50? Diagonal = 10 units ? Radius of required circle = 5 unitsIts area = [? x (5)2 ] cm2= 25? units2
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? 4 times 2 times 5 times 3 times 4 times 2 times 5 times 3 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 The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is: 2520 m2 2480 m2 1520 m2 2420 m2 2520 m2 2480 m2 1520 m2 2420 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103. Solving the two equations, we get: l = 63 and b = 40. ∴ Area = (l x b) = (63 x 40) m2 = 2520 m2
Area Problems The wheel of an engine turns 350 times round its axle to cover a distance of 1.76 km. The diameter of the wheel is 3?3 cm 3 cm 9 cm ?3 cm 3?3 cm 3 cm 9 cm ?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in 1 round = (Total Distance) / (Total round)= (1.76 x 1000)/350= 176/35 m ? 2?r = (1.76 x 100) / 35 cm2? = Diameter = 17600 x 7/22 x 35 = 160 cm
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