Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 5% 6% 4% 9% 5% 6% 4% 9% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively. 8 cm and 9 cm 10 cm and 8 cm 6 cm and 10 cm 14 cm and 6 cm 8 cm and 9 cm 10 cm and 8 cm 6 cm and 10 cm 14 cm and 6 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 4 : 3 9 : 16 ? 3: 2 3 : 4 4 : 3 9 : 16 ? 3: 2 3 : 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
Area Problems The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 44 33 84 22 44 33 84 22 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The area of circle inscribed in an equilateral triangle is 462 cm . The perimeter of the triangle is? 168 cms 126 cms 42 ? 3 cms 72.6 cms 168 cms 126 cms 42 ? 3 cms 72.6 cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 22/7 x r2 = 462? r2 = (462 x 7) /22 = 147? r = 7?3 cm ? Height of the triangle = 3r = 21?3 cmNow, ? a2 = a2/4 + (3r)2? 3a2/4 = (21?3)2? a2 = (1323 x 4)/3? a = 21x 2 = 42 cm? Perimeter = 3a = 3 x 42=126 cm
Area Problems How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material? 5 6 8 2 5 6 8 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.
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