Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 9 cm 3 cm ?3 cm 3?3 cm 9 cm 3 cm ?3 cm 3?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm
Area Problems The diameter of a circle is 105 cm less than the circumference. What is the diameter of the circle? 48 cm 46 cm 44 cm 49 cm 48 cm 46 cm 44 cm 49 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ?d-d = 105 cm ? (? -1 ) d = 105 cm? [(22/7)-1] x d = 105 cm? d = (7/15) x 105 cm = 49 cm
Area Problems One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram? 12.56 cm2 16.76 cm2 22.56 cm2 14.56 cm2 12.56 cm2 16.76 cm2 22.56 cm2 14.56 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of parallelogram = Base x Height = 8.06 x 2.08 = 16.76 cm2
Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 2 : ?3 4 :3 2 :1 4 : ?3 2 : ?3 4 :3 2 :1 4 : ?3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
Area Problems A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter . 2?3 cm 6?3 cm 7?3 cm 5?3 cm 2?3 cm 6?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 If the radius of a circle be reduced by 50%. Its area is reduced by? 39.5% 65.5% 31.5% 34.5% 39.5% 65.5% 31.5% 34.5% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = ? x (r/2)2 = ?r2/4Reduction in area = ? r2 - 3? r2/4? Reduction per cent = [ 3?r2/4 x 4/(?r2) x 100 ] %= 75%
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