Area Problems The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 10) sq m (4 x 102) sq m (4 x 104) sq m (4 x 103) sq m (4 x 10) sq m (4 x 102) sq m (4 x 104) sq m (4 x 103) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 50% 56.25% 125% 53.75% 50% 56.25% 125% 53.75% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 225?3 sq cm 250?3 sq cm 151?3 sq cm 135?3 sq cm 225?3 sq cm 250?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 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 ?2 cm, 12?2 cm 12 cm, 24 cm 24 cm, 48 cm 6 cm, 12 cm 6 ?2 cm, 12?2 cm 12 cm, 24 cm 24 cm, 48 cm 6 cm, 12 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 diagonal of a square is double, how does the area of the square change? Becomes four fold Becomes three fold Becomes two fold None of these Becomes four fold Becomes three fold Becomes two fold None of these 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 three sides of a triangle are 15, 25 and x units. Which one of the following is correct? 10 ? x 10 10 10? x ? 40 10 ? x 10 10 10? x ? 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In a triangleSum of two sides is always greater than 3rd side i.e., x < 25 + 15 = 40 .....(i)Difference of two sides is always less than 3rd side i.e., 25 - 15 = 10 < x ...(ii) From Eqs. (i) and (ii) , we get 10 < x < 40
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