Question
The area of the rectangular field is 720 m² and its
perimeter is 106 m. Find how much percent less the breadth of the field is compared to the length of the field?Solution
ATQ, Let the length and the breadth of the rectangular field be ‘l’ meter and ‘b’ meter, respectively. So, the area of the rectangular field = l × b = 720 l = 720/b Perimeter of the rectangular field = 2(l + b) = 106 l + b = 53 720/b + b = 53 720 + b² = 53b b² – 53b + 720 = 0 b² – 40b – 13b + 720 = 0 b(b – 40) – 13(b – 40) = 0 (b – 13)(b – 40) = 0 b = 40, 13 b = 13 m and l = 40 m as length is greater than breadth So, the desired percentage = {(40 – 13)/40} × 100 = 67.5%
David’s current age is five years less than one-half of his uncle's present age. After 6 years, his age will be 25% of his uncle’s age. What will Da...
Aarav's current age is 6 years less than the total of 30% of Neel’s age and 50% of Tarun’s age. If Neel is 70 years old and Tarun is 40 years old, h...
The respective ratio of the present ages of A and B is 5:6. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C i...
B is 3 years older than A and A is 6 years older than C. If the sum of the age of A and C is 26 years, then find the sum of the ages of all three.
18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the f...
- The ratio of the age of R after 3 years to the age of S after 6 years is 3:2. The total age of S and T after 10 years is 84 years. T’s age 6 years ago wa...
B is 5 years older than A and A is 8 years older than C. If the sum of the age of A and C is 24 years, then find the sum of the ages of all three.Â
Currently, the combined ages of 'P' and 'Q' add up to 78 years. The ratio of 'P's age 2 years ago to 'Q's age 2 years in the futu...
In a group of 10 members, two individuals are 20 and 30 years old. Excluding these two, the average age of the remaining members increases by 1 year. De...
Four years ago, the age ratio of 'Vikram' to 'Garima' was 3:4, and six years from now, their age ratio will be 4:5. Can you determine 'Vikram's current ...