Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 1:3 3:1 9:1 3:4 1:3 3:1 9:1 3:4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
Area Problems The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 7 9 : 4 9 : 5 9 : 2 9 : 7 9 : 4 9 : 5 9 : 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 17% 12.36% 15% 8.39% 17% 12.36% 15% 8.39% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm 4/?3 cm ?3/4 cm 3 cm 4 cm 4/?3 cm ?3/4 cm 3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 20% 10% 15% 18% 20% 10% 15% 18% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 2;3 3:1 4:1 1:2 2;3 3:1 4:1 1:2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2