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Let the side of the square be a Then, AD = 15 – a and FC = 20 - a Area of Triangle ABC = 1/2 × Base × Height = 1/2 × 15 ×20 = 150 cm² Now, Area of Triangles ADE and EFC + Area of Square BDEF = Area of Triangle ABC ∴ 1/2 ×a × (15 - a) + 1/2 × a × (20 - a) + a² = 150 15a/2 - a²/2 + 10a - a²/2 + a² = 150 (15a+20a)/2 = 150 35a = 300 a = 300/35 = 60/7 cm Area of Square = 3600/49 cm²
Four years ago, the ratio of ages of a brother and sister was 5:6 respectively. 3 years from now, the age of the sister will be twice that of the brothe...
The ages of A, B and C together are 63 years. B is thrice as old as A and C is 8 years older than A. What is the difference between ages of B and C?
The average of present ages of 'Anna', 'Bob', and 'Charlie' is 20 years. Three years ago, the average of ages of 'Bob', 'Charlie', and 'David' was 15 ye...
When 15 years ago age of Dev was divided by 20, the present age of his granddaughter Swati is obtained. If Swati is 6 years younger than her sister Neha...
Two years later, the ratio of Puneet's and Qureshi's ages will be 2:3. Currently, Puneet's age is 20% less than Rohit's. Five years ago, Rohit's age was...
20 years ago, the age of ‘I’ was 50% more than ‘J’. If the sum of their present ages is 90 years, then find the present age of ‘I’.
...Downstream speed of a boat is (8/7)th of the speed of the boat in still water. Find the time taken by the boat to cover 280 km downstream if it covers 2...
7 years ago, Meera’s age was equal to the Heena’s present age. The sum of Meera’s age 10 years from now and Heena’s age 5 years ...
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.
