Subject
Quantitative Aptitude
Topic
Areas & Volumes
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
ক)
25% increaseখ)
50% increaseগ)
50% decreaseঘ)
75% decreaseExplanation
Let original length = x and original breadth = y. Original area = xy. New length = x/2 New breadth = 3y. New area ={(x/2)x 3y} = (3/2) xy. So, Increase % = {(½)xy x (1/xy)x 100}% = 50%.Related questions
The ratio between the length and the breadth of a rectangular park is 3 : If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:How many bricks, each measuring 25 cm x 25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 5 cm?A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?A cistern of capacity 8000 litres measures externally 3 m by 6 m by 1 m and its walls are 5 cm thick. The thickness of the bottom is:The curved surface area of a cylindrical pillar is 264 m2and its volume is 924 m3. Find the ratio of its diameter to its height.A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field isA metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is: