Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 2 : ?3 2 :1 4 :3 4 : ?3 2 : ?3 2 :1 4 :3 4 : ?3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 18% 15% 10% 20% 18% 15% 10% 20% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? 3 cm ? 3/2 cm 1/2 cm ? 3/4 3 cm ? 3/2 cm 1/2 cm ? 3/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
Area Problems The area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is? 52.8 sq. meters 79.2 sq. meters 26.4 sq. meters 39.6 sq. meters 52.8 sq. meters 79.2 sq. meters 26.4 sq. meters 39.6 sq. meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2
Area Problems The ratio between the lenght and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the parimeter of the rectangle? 35 cm 25 cm 30 cm 40 cm 35 cm 25 cm 30 cm 40 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = 2x and breadth = xAccording to the question, 2x - x = 5 ? x = 5? Required perimeter = 2(2x + x) = 6x= 30 cm
Area Problems A veranda 40 meters long 15 meters broad is to paved with stones each measuring 6 dm by 5 dm. the number of stones required is? 2000 1000 None of these 3000 2000 1000 None of these 3000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length = (40 x 10 ) dm = 400 dm.Breadth = (15 x 10 ) dm = 150 dm.Area of veranda = (400 x 150 ) dm2Area of one stone = (6 x 5 ) dm2? Required number of stones = (400 x 150) /(6 x 5) = 2000