Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4 cm 3 cm ?3/4 cm 4/?3 cm 4 cm 3 cm ?3/4 cm 4/?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems One diagonal of a rhombus is 60% of the other diagonal. Then, area of the rhombus is how many times the square of the length of the larger diagonal? 2/5 1/5 3/10 6/7 2/5 1/5 3/10 6/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let one diagonal be k.Then, other diagonal = (60k/100) = 3k/5 cmArea of rhombus =(1/2) x k x (3k/5) = (3/10) = 3/10 (square of longer diagonal)Hence, area of rhombus is 3/10 times.
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 6 cm and 10 cm 10 cm and 8 cm 14 cm and 6 cm 8 cm and 9 cm 6 cm and 10 cm 10 cm and 8 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 If the radius of a circle be reduced by 50%. Its area is reduced by? 34.5% 39.5% 31.5% 65.5% 34.5% 39.5% 31.5% 65.5% 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%
Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 121 cm 11 cm 22 cm 6.20 cm 121 cm 11 cm 22 cm 6.20 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 cm
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 250% 150% 450% 350% 250% 150% 450% 350% ANSWER DOWNLOAD EXAMIANS APP
EXAMIANS