Question
A rectangular playground is fenced at Rs. 11/metre and
the total cost is Rs. 1210. If the length to breadth ratio is 6:5, find the area of the playground.Solution
Let the length and breadth be 6x metres and 5x metres respectively.
According to the question,
2 Ă— (6x + 5x) = 1210 / 11
Or, 2 Ă— 11x = 110
Or, 22x = 110
Or, x = 5 metres
Therefore, area = 6x × 5x = 30x² = 30 × 25 = 750 m²
- From 10 musicians and 5 singers, a band of 8 members is to be formed. In how many ways can the band be formed such that there are at least 6 musicians?
In how many different ways can the letters of the word 'COMPUTER' be arranged in such a way that the vowels always come together?
Find total number of ways in which the word “ACCOMMODATE” can be arranged.
In how many different ways can the letters of the word ‘FLOWER’ be arranged in such a way that the vowels occupy only the odd positions?
From 7 experienced and 4 fresher candidates, a panel of 8 is to be made. How many ways can the panel be formed if it includes at least 6 experienced can...
In how many different ways can the letters of the word ‘NATURE’ be arranged in such a way that the vowels occupy only the odd positions?
What will be the number of permutations of n different things, taken r at a time, where repeatition is allowed?
Find the number of ways to arrange each letter of the word 'COMMITTEE' such that all the vowels always come together.
In a group of 5 boys and 4 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
How many unique arrangements can be made using all the letters of the word "DELUSION", ensuring that the vowels do not appear together?
