Chapters

## Perimeter

The perimeter of a polygon is equal to the sum of the length of its sides. The best Maths tutors available
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1st lesson free!  4.9 (26 reviews)
Intasar
£36
/h
1st lesson free!  5 (17 reviews)
Matthew
£25
/h
1st lesson free!  4.9 (13 reviews)
Paolo
£25
/h
1st lesson free!  4.9 (7 reviews)
Dr. Kritaphat
£49
/h
1st lesson free!  5 (28 reviews)
Ayush
£60
/h
1st lesson free!  4.9 (9 reviews)
Petar
£27
/h
1st lesson free!  5 (14 reviews)
Farooq
£40
/h
1st lesson free!  5 (9 reviews)
Tom
£22
/h

## Area

The area of a polygon is the measure of the region enclosed by the sides of a polygon.

## Perimeter of a Triangle

 Equilateral Triangle Isosceles Triangle Scalene Triangle            ### Area of a Triangle  ## Example

Find the area and perimeter of the following triangle: P = 2 · 11 + 7.5 = 29.5 cm ### Square   ## Example

Calculate the area and perimeter of a square with 5 cm sides. A = 5² = 25 cm²

### Rectangle   ## Example

Calculate the area and perimeter of a rectangular with a base of 10 cm and a height of 6 cm. P = 2 · (10 + 6) = 32 cm

A = 10 · 6 = 60 cm²

### Rhombus   ## Example

Calculate the area and perimeter of a rhombus whose diagonals are 30 and 16 cm, and its side measures 17 cm. P = 4 · 17 = 68 cm ### Rhomboid P = 2 · (a + b)

A = b · h

## Example

Calculate the area and perimeter of a rhomboid shape of 4 sides of 4.5 cm and a height of 4 cm. P = 2 · (4.5 + 4) = 17 cm

A = 4 · 4 = 16 cm²

### Area of a Trapezoid  ## Example

Calculate the area of the following trapezoid:  ### Area of a Regular Polygon  n is the number of sides Calculate the area and perimeter of a regular pentagon with sides of 6 cm. By applying the Pythagorean theorem for one of the triangles, we obtain:   Calculate the area and perimeter of a regular hexagon inscribed in a circle of 4 cm radius.   P = 6 · 4 = 24 cm ### Area of a Polygon The area is obtained by triangulating the polygon and adding the area of these triangles.

A = T1 + T2 + T3 + T4

Calculate the area of the following polygon: P = 11 · 2 + 5 + 13 + 12 = 52 cm

AD = BC; AB = DC Rhomboid

A = AR + AT

A = 11 · 12 + (12 · 5 ) : 2 = 162 cm²

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.