Area Problems The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 13 cm 12 cm 14 cm 16 cm 13 cm 12 cm 14 cm 16 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? 50% increase 25% increase 50% decrease 75% decrease 50% increase 25% increase 50% decrease 75% decrease ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%
Area Problems The inner circumference of a circular race track, 14 m wide is 440 m . Then the radius of the outer circle is? 77 m 70 m 84 m 56 m 77 m 70 m 84 m 56 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of a circular = 2?r? 2 x (22 / 7) x r = 440? r = [440 x (7/22) x (1/2)] = 70 m? Radius of outer circle = (70 + 14) m = 84 m
Area Problems The radius of a circular field is 25 m. Find the area of the field. 125 ? sq m 25 ? sq m 625 ? sq m 135 ? sq m 125 ? sq m 25 ? sq m 625 ? sq m 135 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
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 area of an equilateral triangle whose side is 8 cms is? 4?3 cm2 21.3 cm2 64 cm2 16?3 cm2 4?3 cm2 21.3 cm2 64 cm2 16?3 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Req. Area = ?3/4 x a2 = ?3/4 x 82 cm2= 16?3 cm2