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: 6y5
Find a number which when multiplied by 5 is increased by 80.
The sum of three consecutive natural numbers is 114. Find the numbers.
When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find that number.
The sum of two consecutive even numbers is 74. Find the numbers.
The sum of three consecutive odd numbers is 21. Find the numbers.
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, 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 additive inverse of an integer x is 2x.
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 diameter of a circle is a line which joins two points on the circle and also passed through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).

In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:

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 the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.
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:
– ![]()
