Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 50 m 30 m 40 m 20 m 50 m 30 m 40 m 20 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
Area Problems The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? 50% decrease 25% increase 50% increase 75% decrease 50% decrease 25% increase 50% increase 75% decrease ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%
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? 3.5 meters 14 meters 6 meters 12 meters 3.5 meters 14 meters 6 meters 12 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. 700 Rs. 500 Rs. 600 Rs. 800 Rs. 700 Rs. 500 Rs. 600 Rs. 800 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 length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 104) sq m (4 x 103) sq m (4 x 102) sq m (4 x 10) sq m (4 x 104) sq m (4 x 103) sq m (4 x 102) sq m (4 x 10) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m
Area Problems The circumference of a circle is 25 cm. Find the side of the square incribed in the circle. 23/??2 29/??3 cm 21/??3 cm 25/??2 cm 23/??2 29/??3 cm 21/??3 cm 25/??2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of the circle = 2?r = 25? r = 25 / (2?)According to the formula,Side of inscribed square = r?2 = 25 / (2?r x ?2) = 25 / (??2 ) cm