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 circumferences of two concentric are 176 m and 132 m respectively. what is the difference between their radii? 5 meter 44 meter 8 meter 7 meter 5 meter 44 meter 8 meter 7 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?R - 2?r = (176-132)? 2?(R-r) = 44? R-r = ( 44 x 7 )/ (2 x 22)= 7 m
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? 30 m 40 m 20 m 50 m 30 m 40 m 20 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 A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? 1 : ? ? : 1 ?? : 1 1 : ?? 1 : ? ? : 1 ?? : 1 1 : ?? ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm ?3/4 cm 3 cm 4/?3 cm 4 cm ?3/4 cm 3 cm 4/?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems The cross section of a canal is a trapezium in shape . If the canal is a trapezium in shape. If the canal is 10 meters wide at the top and 6 meters wide at bottom and the area of cross section is 640 sq. meters The depth of canal is? 40 meters 384 meters 80 meters 160 meters 40 meters 384 meters 80 meters 160 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Cross section area = 1/2 x ( a + b ) x d where a and b are the parallel sides, d is the perpendicular distance between them.? 1/2 x ( a + b ) x d = 640? d = (640 x 2) / 16 = 80m
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