**Path ways :**

Path ways are laid in big plots, fields and grounds, along breadth wise, length wise and both breadth wise and length wise.

Now let us see some example problems to understand this topic.

**Example 1 :**

A plot is 100 m long and 60 m broad. A path 5 m wide runs breadth wise across the ground in the middle. Find the area of the path.

**Solution :**

In the bellow figure the shaded portion is the path way. To find the area of pathway we can take the length as 60 m and breadth as 5 m.

Area of pathway = L x B

= 60 x 5

= 300 m²

**Example 2 :**

Find the area of the shaded portion in the below figure.

**Solution:**

Area of shaded portion = Area of rectangle ABCD - Area of rectangle EFGH

Area of rectangle ABCD:

Length (AB) = 120 m

Breadth (BC) = 80 m

Area of rectangle ABCD = Length x width

= 120 x 80

= 9600 m²

Area of rectangle EFGH :

Length (EF) = 110 m

Breadth (FG) = 70 m

Area of rectangle EFGH= Length x width

= 110 x 70

= 7700 m²

Area of shaded portion = Area of rectangle ABCD - Area of rectangle EFGH

= 9600 - 7700

= 1900 m²

**Example 3 :**

There is a hall 40 m in length and 30 m in breadth. There is verandah 5 m wide surrounding the hall on all the four sides out side. Find the area of the verandah.

**Solution :**

First let us draw the diagram based on the given details.

The hall is a rectangle. The hall and verandahs which is out side is bigger rectangle.

Then length of bigger rectangle = 40 + 5 + 5

= 50 m

Breadth of bigger rectangle = 30 + 5 + 5

= 40 m

Area of hall and verandahs = 50 x 40

= 2000 m²

Area of the hall = 40 x 30

= 1200 m²

Area of verandahs = 2000 - 1200

= 800 m²

Related Topics

- Perimeter of sector
- practice questions with solution
- Length of arc
- Practice questions on length of arc
- Perimeter of square
- Perimeter of parallelogram
- Perimeter of rectangle
- Perimeter of triangle
- Area of a circle
- Area of Semicircle
- Area of Quadrant
- Area of sector
- Area of triangle
- Area of equilateral triangle
- Area of scalene triangle
- Area of square
- Area of rectangle
- Area of parallelogram
- Area of rhombus
- Area of trapezium
- Area of quadrilateral
- Area around circle
- Area of combined shapes

After having gone through the stuff given above, we hope that the students would have understood "Path ways"

Apart from the stuff given above, if you want to know more about "Path ways", __please click here.__

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**