Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 12 meters 6 meters 3.5 meters 14 meters 12 meters 6 meters 3.5 meters 14 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
Area Problems A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is? Rs. 600 Rs. 800 Rs. 500 Rs. 700 Rs. 600 Rs. 800 Rs. 500 Rs. 700 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of verandah = [(25 x 20) -(20 x 15)] m2= 200 m2? Cost of flooring = Rs. (200 x 3.50)= Rs. 700
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 111 sq m 120 sq m 115 sq m 125 sq m 111 sq m 120 sq m 115 sq m 125 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 3 : 4 4 : 3 ? 3: 2 9 : 16 3 : 4 4 : 3 ? 3: 2 9 : 16 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 If the radius of a circle be reduced by 50%. Its area is reduced by? 31.5% 65.5% 39.5% 34.5% 31.5% 65.5% 39.5% 34.5% 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 A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? ? : 1 ?? : 1 1 : ?? 1 : ? ? : 1 ?? : 1 1 : ?? 1 : ? ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
EXAMIANS