Area Problems Area of a square is 1/2 hectare. The diagonal of the square is? 250 meter 50? 2 meter 100 meter 50 meter 250 meter 50? 2 meter 100 meter 50 meter ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 hectare = 10000 / 2 m2= 5000 m2Again Area = 1/2 x (Diagonal)2So 1/2 x (Diagonal)2 = 5000m2? Diagonal2= 10000 ? Diagonal = 100
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. 800 Rs. 500 Rs. 700 Rs. 600 Rs. 800 Rs. 500 Rs. 700 Rs. 600 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 The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle? None of these 24 cm 18 cm Data inadequate None of these 24 cm 18 cm Data inadequate ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2(l + b) = 5 b 1 ⟹ 2l + 2b = 5b ⟹ 3b = 2l b = 2 l 3 Then, Area = 216 cm2 ⟹ l x b = 216 ⟹l x 2 l = 216 3 ⟹ l2 = 324 ⟹ l = 18 cm
Area Problems A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is? 14 meters 28 meters 24 meters 40 meters 14 meters 28 meters 24 meters 40 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Distance covered in one revolution = total distance travelled / total number of revolution. = ( 88 x 1000) / 1000 m = 88 mWe know that the distance covered in one revolution = circumference of the wheel.? ?d = 88? 22d / 7 = 88? d = 28 m
Area Problems The area of circle is 38.5 sq. cm. Its circumference is? 22 cm 11 cm 6.20 cm 121 cm 22 cm 11 cm 6.20 cm 121 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 length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 10) sq m (4 x 103) sq m (4 x 104) sq m (4 x 102) sq m (4 x 10) sq m (4 x 103) sq m (4 x 104) sq m (4 x 102) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m