Area Problems In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are? 6 cm, 12 cm 24 cm, 48 cm 12 cm, 24 cm 6 ?2 cm, 12?2 cm 6 cm, 12 cm 24 cm, 48 cm 12 cm, 24 cm 6 ?2 cm, 12?2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm
Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:4 9:1 3:1 1:3 3:4 9:1 3:1 1:3 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 The perimeter of an equilateral triangle is 90 cm. Find its area. 250?3 sq cm 225?3 sq cm 151?3 sq cm 135?3 sq cm 250?3 sq cm 225?3 sq cm 151?3 sq cm 135?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 If the diagonal of a square is double, how does the area of the square change? Becomes four fold None of these Becomes two fold Becomes three fold Becomes four fold None of these Becomes two fold Becomes three fold ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas = area of original square / area of new square = [ d2 / 2 ] / [ (2d)2 / 2 ] = 1/4? New area becomes 4 fold.
Area Problems If a regular hexagon is inscribed in a circle of radius, r then its perimeter? 12r 3r 9r 6r 12r 3r 9r 6r ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of each side of hexagoan = radius of circle ? its perimeter = 6r
Area Problems A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is? 132 cm 72 cm 60 cm 30 cm 132 cm 72 cm 60 cm 30 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm
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