Question
The lengths of a pair of parallel sides of a trapezium
are respectively 12 cm and 20 cm, and the perpendicular distance between these two sides is 14 cm. What is the area (in cm²) of the trapezium?Solution
Area of trapezium = 1/2 x sum of its parallel sides x perpendicular distance between parallel sides 1/2 x (20 + 12) x 14 cm² = (1/2 x 32 x 14) cm² = (32 x 7) cm² = 224 cm² The area of the trapezium is 224 cm².
A group consists of 6 boys and 8 girls. In how many ways can 2 boys and 3 girls be selected from the group?
In how many ways can the letters of the word ‘MEDICAL’ be rearranged so that the vowels never come together?
In how many ways can a group of 2 boys and 2 girls be made out of a total of 6 boys and 4 girls?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "MEASURE"?
How many three-letter words can be formed such that all letters are vowels, and no two letters are the same?
How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "SEMINAR"?
From 6 men and 5 women, a committee of 4 is formed. In how many ways can it be formed with at least 2 women?
Eight dancers out of which 3 are from the same team and the rest are solo performers have to perform in a sequence. Find the number of sequences in whic...
- A group consists of 9 boys and 8 girls. In how many ways can 3 boys and 5 girls be selected from the group?
In how ways can the selection be made so that a particular member is always excluded?
...
Relevant for Exams:
