Area Problems The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is? None of these 54 m 27 m 81 m None of these 54 m 27 m 81 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.
Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 16 m 15 m 20 m 17 m 16 m 15 m 20 m 17 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 9 cm 3?3 cm 3 cm ?3 cm 9 cm 3?3 cm 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
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 120 sq m 111 sq m 115 sq m 125 sq m 120 sq m 111 sq m 115 sq m 125 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
Area Problems The three sides of a triangle are 15, 25 and x units. Which one of the following is correct? 10 10? x ? 40 10 ? x 10 10 10? x ? 40 10 ? x 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 inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 33 22 84 44 33 22 84 44 ANSWER DOWNLOAD EXAMIANS APP
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