Question
A rectangular room measures 25 metres in length and has
a perimeter of 78 metres. Calculate the total cost to carpet this room at a rate of Rs. 8 per square metre.Solution
Let the breadth of the floor = 'b' metres Then, perimeter of the floor = 2 x (25 + b) = 78 So, b = (78/2) - 25 = 14 So, area of the floor = 25 x 14 = 350 m2 So, cost of carpeting the floor = 350 x 8 = Rs. 2800 Hence, option a.
At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?
The volume of a solid cube is 2744 m3. If whole cube is to be painted at a rate of Rs. 7.5 per m2, then what will be the cost of p...
A maximum-size sphere is cut from a hemisphere of radius r. Find the ratio of the volume of the sphere to the hemisphere. Radius of Hemispher
- Find the height of a cone if its radius is 14 cm and curved surface area is 1320 cm².
A right circular cone has a height of 24 cm and a base radius of 9 cm. What is the total surface area of the cone, including the base?
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ ...
In a village, number of males, female and children are in the ratio of 3:5:7. If 90% of the males are literate, 80% of females are literate and 40% of c...
The area of two similar triangles is 400 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
A rectangular piece of copper foil of length 56 cm and area 616 cm2 is folded along its width to form a cylinder such that there is only one ...
A class has 48 students. On a specific day, only (3/8) of the students were present; the number of absentees on the same day would be: