Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 6% 5% 4% 9% 6% 5% 4% 9% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems If a regular hexagon is inscribed in a circle of radius, r then its perimeter? 12r 9r 3r 6r 12r 9r 3r 6r ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of each side of hexagoan = radius of circle ? its perimeter = 6r
Area Problems If the diagonal of a square is double, how does the area of the square change? Becomes three fold Becomes two fold None of these Becomes four fold Becomes three fold Becomes two fold None of these Becomes four 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 A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter . 6?3 cm 2?3 cm 5?3 cm 7?3 cm 6?3 cm 2?3 cm 5?3 cm 7?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm
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 cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is? Rs. 900 Rs. 1800 Rs. 810 Rs. 360 Rs. 900 Rs. 1800 Rs. 810 Rs. 360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1440 / 160 hectares = 9 hectares = 90000 m2? One side = ?90000 m = 300 mSo perimeter = 4 x 300 m = 1200 m ? Cost of fencing = Rs (1200 x 75) / 100= Rs. 900
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