Advertisements
Advertisements
Question
Find the perimeter of the figure given below:
Advertisements
Solution
We know that, perimeter is the sum of all sides
Perimeter of the given figure = AB + BC + CD + DA
= (5x – y) + 2(x + y) + (5x – y) + 2(x + y)
= 5x – y + 2x + 2y + 5x – y + 2x + 2y
On combining the like terms,
= 5x + 2x + 5x + 2x – y + 2y – y + 2y
= 14x + 2y
APPEARS IN
RELATED QUESTIONS
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
Write down the following in the product form: 9xy2z
The sum of three consecutive natural numbers is 114. Find the numbers.
Find two numbers such that one of them is five times the other and their difference is 132.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
If m is a whole number, then 2 m denotes a multiple of 2.
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
(Hint: A regular hexagon has all its six sides equal in length.)
A cube is a three-dimensional figure as shown in the given figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube.
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
`1/2`
+ 
– 3
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
