Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 9:1 1:3 3:4 3:1 9:1 1:3 3:4 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 115 sq m 125 sq m 120 sq m 111 sq m 115 sq m 125 sq m 120 sq m 111 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
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 56 m 70 m 84 m 77 m 56 m 70 m 84 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 if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? 14cm 13 cm None of these 12 cm 14cm 13 cm None of these 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
Area Problems If the diameters of a circle is increased by 100% . Its area is increased by? 400% 300% 100% 200% 400% 300% 100% 200% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = ?(d/2)2= (?d2) / 4New area = ?(2d/2)2= ?d2Increase in area = (?d2 - ?d2/4)= 3?d2/4? Required increase percent = [(3?d2)/4 x 4/(?d2) x 100]%= 300%
Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 6% 4% 5% 9% 6% 4% 5% 9% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
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