Question
The ratio of length to breadth of a rectangle is 8:5.
When the length and breadth of the rectangle is increased by 20% and decreased by 30% respectively, then its perimeter becomes 131 cm. Find the original area (in cm2) of the rectangle.Solution
Let the original length and breadth of the rectangle be 8x cm and 5x cm, respectively According to the question, 2 × {(1.2 × 8x) + (0.7 × 5x)} = 131 Or, 9.6x + 3.5x = 65.5 Or, x = 65.5/13.1 = 5 Therefore, original area of the rectangle = 8x × 5x = 40x2 = 1000 cm2
PQRS is a cyclic trapezium where PQ is parallel to RS and PQ is the diameter. If ∠QPR = 40° then the ∠PSR is equal to:
If the volume of a cylinder is 180π and the ratio of radius to its height is 6:5 then find the curved surface area of cylinder?
The external dimensions of an open rectangular wooden box are 88 cm by 74cm by 67cm. If the wood is 2cm thick all around, find the amount of volume of w...
A rectangular lawn is 60 meters X 50 meters and has two roads, each 2 meters wide, in the middle of it, one parallel to its length and the other paralle...
A cone and a cylinder have the same radius and height. If the volume of the cone is 100 cm³, what is the volume of the cylinder?
The area of a square is 2116 square metres. The breadth of a rectangle is half of the side of the square and the length of the rectangle is thrice its b...
A cylindrical tank has a height of 10 meters and a radius of 7 meters. If the tank is filled with water up to half of its height, find the volume of wat...
If the radius of the base and the height of a right circular cone are increased by 10%, what is the approximate percentage increase in volume?
The volume of a cube is 216 cm³. If the cost of painting the cube is Rs. 12 per cm², then find the cost of painting five faces of the cube.
On a rectangular wall of length 22 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
Relevant for Exams:
