Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 17 m 16 m 15 m 20 m 17 m 16 m 15 m 20 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre. Rs.15500 Rs.18500 Rs.17500 Rs.16500 Rs.15500 Rs.18500 Rs.17500 Rs.16500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 5.5 × 3.75 sq. metre. Cost for 1 sq. metre. = Rs. 800 Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
Area Problems A circular disc of area 0.49 ? square meters, rolls down a length of 1.76 km. The number of revolutions it makes is? 4000 600 400 300 4000 600 400 300 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = ?r2 = 0.49? ? r = 0.7 mNumber of revolutions = total distance / circumference = (1.76 x 1000) / (2 x 22/7 x 0.7) = 400
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.567 1.867 1.967 1.767 1.567 1.867 1.967 1.767 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The ratio of the area of two square, one having and double its diagonal than the other is? 4:1 3:1 3:2 2:1 4:1 3:1 3:2 2:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonal of one square be (2d) cmThen, diagonal of another square = d cm? Area of first square = [ 1/2 x (2d)2] cm2Area of second square = (1/2 x d2) cm2? Ratio of area = (2d)2/ d2= 4/1 = 4: 1
Area Problems One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is? 4?5 m2 12 m2 15 m2 20 m 2 4?5 m2 12 m2 15 m2 20 m 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2
EXAMIANS