Area Problems The three sides of a triangle are 15, 25 and x units. Which one of the following is correct? 10 ? x 10? x ? 40 10 10 10 ? x 10? x ? 40 10 10 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
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 1078 154 49 378 1078 154 49 378 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2
Area Problems Area of a square is 1/2 hectare. The diagonal of the square is? 50 meter 100 meter 50? 2 meter 250 meter 50 meter 100 meter 50? 2 meter 250 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.767 1.867 1.567 1.967 1.767 1.867 1.567 1.967 ANSWER DOWNLOAD EXAMIANS APP
Area Problems A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is rs.258 rs.58 rs.158 rs.358 rs.258 rs.58 rs.158 rs.358 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m cost of graveling = 344 x (75/100) = Rs. 258
Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. ?3 cm 9 cm 3?3 cm 3 cm ?3 cm 9 cm 3?3 cm 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
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