Area Problems If the diagonal of a square is double, how does the area of the square change? Becomes three fold Becomes four fold None of these Becomes two fold Becomes three fold Becomes four fold None of these Becomes two 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 The ratio of the area of square of side a and equilateral triangle of side a is? 4 : ?3 2 : ?3 4 :3 2 :1 4 : ?3 2 : ?3 4 :3 2 :1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 18% 15% 10% 20% 18% 15% 10% 20% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is 36° 54° 18° 40° 36° 54° 18° 40° ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let First angle = 3kSecond angle = 4kThird angle = 5k and Fourth angle = 8kWe know 3k + 4k + 5k + 8k = 360°? 20k = 360° ? k = 18 °Measure of smallest angle = 3k =3 x 18 ° = 54 °
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 7?3 cm 5?3 cm 6?3 cm 2?3 cm 7?3 cm 5?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 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? 50 m 20 m 30 m 40 m 50 m 20 m 30 m 40 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
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