Question
The breadth of a rectangle is increased by 5 cm, it will
become twice the length of the rectangle. If the new perimeter is 330 cm, then find the original area (in sq.cm) of the rectangle.Solution
Let the length of the rectangle be l cm. Breadth = 2l cm According to the question, => 2(l + 2l) = 330 => 3l = 165 => l = 55 So, breadth = 55 - 5 = 50 cm Original area = 55 × 50 = 2750 cm2
Two poles are 30 meters and 50 meters high, and the distance between their bases is 20√3 meters. Find the angle of elevation of the top of the taller ...
If x = a cos³ θ, y = a sin³ θ, then dy/dx at any θ is:
The equation of the plane passing through the point (2,−1,3) and having direction ratios (1,4,−2) is:
Find the equation if a point P(x, y) is equidistant from A(7, 3) and B(-3, 7).
A cone has a height of 12 cm and a base radius of 5 cm. A sphere with the same volume as the cone is constructed. What is the radius of the sphere?
The MRP of an article is Rs.1750 and the cost price of the article is 40% of its marked price. If x% of the discount offered on the marked price of the ...
Find the simple interest on Rs 1040 at 12% per annum for 2 years?
A group of 20 boys can complete a task in 15 days. Similarly, 24 girls can finish the same task in 20 days. If the ratio of the e...
A 60-liter solution contains 30% alcohol. How much pure alcohol must be added to make the solution 50% alcohol?
Find the area enclosed between the curves y=(x−4)2 and y=16−x2over their intersection interval.