Question
The area of a square is 729 cm2 which is 48
cm2 less than that of a rectangle. Find the perimeter of the rectangle if the length of the rectangle is 10 cm more than the length of each side of the square.Solution
Area of the square = 729 cm2 Length of each side of the square = √729 = 27 cm Area of the rectangle = 729 + 48 = 777 cm2 Length of the rectangle = 10 + 27 = 37 cm So, area of rectangle = length × breadth = 37 × breadth = 777 cm2 So, breadth of the rectangle = 777/37 = 21 cm Therefore, perimeter of the rectangle = 2 × (length +breadth) = 2 × (21 + 37) = 116 cm
- An exam consists of two subjects: Computer and General Knowledge. Anita got 87 marks out of 95 in Computer and 72 out of 80 in General Knowledge. What is h...
Income of A is 55% of the Income of B and A together. The saving of B is 45% of his Income and equals to Rs. 8100. Find the difference between the incom...
In an election with only two candidates, 15% of the eligible voters did not cast their votes. Out of the total votes cast, 105 votes were declared inval...
A number is first increased by 25% and then decreased by 25%. If the net change in the number is 187.5, then find the original number.
In a two digit positive number, the digit in the unit’s place is equal to the square of the digit in ten’s place, and the difference between...
A man spent 20% of his income in May. If his savings is increased by 20% in June and becomes Rs. 11520, then find the income of man in May.
The marks obtained by X is 40% more than Y, and the marks obtained by Z is 80 more than the difference of the marks obtained by X and Y. If Z obtained 2...
- Out of a city's population, 30% are not eligible to vote. Of those who are eligible, 50% are females. If 2/5 of the eligible males and 3/10 of the eligible...
In an election between two candidates, winner got 40% of total valid votes. If total number of votes cast were 1000 out of which 6% were invalid, then f...
- During a club election between members 'X' and 'Y', 10% of all votes were invalid. If 'X' got 52% of the valid votes and 'Y' secured 21,168 valid votes, de...
Relevant for Exams:
