Area of triangle = S = (a+b+c)/2 = (2x+3x+4x)/2 = 9x/2 Area = √(s(s-a)(s-b)(s-c)) = √(9x/2 × s/2 x × 9/2 x × x/2) = (3√15)/4 x² Again area of triangle = 1/2 × 4x × (15√15)/4 Compare both areas 1/2 × 4x × (15√15)/4 = (3√15)/4 x² x = 10 cm ∴ Area of trapezium = 1/2 × (2x + 6x) × (15√15)/4 = 1/2 × 8 × 10 × (15√15)/4 = 150√15 cm²
The average of 25, 46, and ‘y’ is 28. What is the value of ‘y’?
The average age of A and B is 17 years. If A is to be replaced by C, the average would be 16 years. The average age of C and A is 18 years. Find the age...
A number is such that when it is multiplied by 5, it gives another number which is as much above from 210 as the original number (itself) is below 210. ...
The average marks in geography exam of a class of 25 students are 64. If the marks of three students were misread as 44, 46 and 61 in lieu of the actual...
The average age of A and B is 15 years. If A is to be replaced by C, the average would be 14 years. The average age of C and A is 16 years. Find the age...
The average of 27 numbers is 25.The average of first 13 numbers is 16 and that of the last 13 numbers is 19. What will be the 27th number?
The average cost of three chairs is Rs.12000. The average cost decrease by 18% when one more chair is included. What is the cost price of the 4th
In an examination the average marks of Rohit is 60. If he got 21 more marks in science and 35 more marks in maths then his average would have been 68. F...
Mixture X comprises juice and water in a 5:4 ratio, and mixture Y consists of juice and water in a 7:9 ratio. When mixture X is combined with mixture Y,...
A bowler gives 15 runs per wicket. He gives 30 runs and takes 5 wickets in a last match after which his average becomes 13.5 runs per wicket. How many ...
