Question
A rectangular park is 50 m long and 30 m wide. A path of
uniform width 2 m is built inside the park along all four sides. Find the area of the path.Solution
Outer rectangle (park): 50 m × 30 m Area = 50 × 30 = 1500 m² Since the path is inside along all sides, inner rectangle dimensions: Length = 50 − 2 − 2 = 46 m Width = 30 − 2 − 2 = 26 m Inner area = 46 × 26 = 1196 m² Area of path = Outer area − Inner area = 1500 − 1196 = 304 m²
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
The monthly incomes of A and B are in the ratio of 5:6. A's monthly savings are 50% higher than B's monthly savings, while A's monthly expenditure equal...
In a survey, 60% of the participants are women and 40% are men. Among the women, 50% are employed, while 70% of the men are employed. If there are 200 p...
A man travels the first part of his journey at a speed of 40 km/h and the second part at a speed of 60 km/h. What is the average speed of the man?
Solve the inequality for x: (x – 4)(6 – x) ≥ 0
Arun invests Rs.(y – 2000) in a compound interest scheme at a rate of 12% per annum for 3 years. Rina invests Rs.y in a compound interest scheme at a ...
A person has a total of ₹5000 in the form of ₹10 and ₹5 notes. If the number of ₹10 notes is twice the number of ₹5 notes, how many notes of e...
17, 16, 34, 32, 68, 66
The value of 0∫π cos3x dx is –
The equation∣ z-2i ∣ + ∣ z + 2i ∣ = 6 represents: