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 20 m 16 m 17 m 15 m 20 m 16 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 What is the diameter of the circle having 3 cm radius? 12 cm 6 cm 1.5 cm 8 cm 12 cm 6 cm 1.5 cm 8 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Radius = Diameter/2 ? Diameter = 2 x Radius = 2 x 3 = 6 cm
Area Problems The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 84 44 33 22 84 44 33 22 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 225?3 sq cm 250?3 sq cm 135?3 sq cm 151?3 sq cm 225?3 sq cm 250?3 sq cm 135?3 sq cm 151?3 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, perimeter = 90 cm? 3a = 90 cm [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 48 cm 46 cm 44 cm 49 cm 48 cm 46 cm 44 cm 49 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
Area Problems The area of a trapezium is 384 sq.cm 2. If its parallel sides are in ratio 3 : 5 and the perpendicular distance between them be 12 cm, The smaller of parallel sides is? 36 cm 30 cm 20 cm 24 cm 36 cm 30 cm 20 cm 24 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the sides of trapezium be 5k and 3k, respectively According to the question, (1/2) x [(5k + 3k) x 12] = 384? 8k = (384 x 2)/12 = 64 ? k = 64/8 = 8 cmLength of smaller of the parallel sides = 8 x 3 = 24 cm
EXAMIANS