Area Problems If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is? 18 cm2 9 cm 2 12 cm 2 19 cm2 18 cm2 9 cm 2 12 cm 2 19 cm2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 2;3 4:1 1:2 3:1 2;3 4:1 1:2 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
Area Problems The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle 22 33 84 44 22 33 84 44 ANSWER DOWNLOAD EXAMIANS APP
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? None of these 526 m2 616 m2 556 m2 None of these 526 m2 616 m2 556 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? 14cm None of these 13 cm 12 cm 14cm None of these 13 cm 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
Area Problems A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? 88 34 68 40 88 34 68 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We have: l = 20 ft and lb = 680 sq. ft. So, b = 34 ft. ∴ Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft
EXAMIANS