Question

Perimeter and area all formulas

Answer 1

$\huge\bold{Answer:}$

Formulas for finding area :-

Area of the rectangle =  length × width

Area of the Square = s², where ‘s’ = sides of the square

The area of a triangle is A = $\frac{1}{2}$ b × h  where’ b’ is the base and ‘ h’ is the height

Area of the circle = πr² where ‘ r ‘ is the radius

The area of the parallelogram is A = b × h; here b = base and h =vertical height

Area of parallelogram = base × height

Area of rhombus = base × height

The Area of trapezium = $\frac{1}{2}$ (sum of parallel sides) × (perpendicular distance between them)

Formulas for Finding Perimeter :-

Perimeter of Rectangle: We can see that in a rectangle the two sides are parallel and equal and also all the angles are 90 degrees. P = l+ b+ l+ b = 2l + 2b = 2 ( l + b )

Perimeter of Square: So a rectangle with all its sides equal is a square.
A perimeter of a square is 4 × Side

The Perimeter of a Triangle: is given by P = (a + b + c), where a, b and c are the 3 sides of the triangle.

Perimeter of Parallelogram = 2 (sum of adjacent sides)

Perimeter of Rhombus = 4 × side

Answer 2

$\sf \bf \bold{Formula \: of \: Square } \: \downarrow$

$\bf \Rightarrow{Perimeter \:\leadsto \: 4 \: \times \: Side}$

$\bf \Rightarrow{Area \: \leadsto \: Side \: \times \: Side}$

$\sf \bf \bold{Formula \: of \: Rectangle} \: \downarrow$

$\bf \Rightarrow{Perimeter \: \leadsto \: 2 \: \times \: \bigg( \: Length \: + \: Breadth \bigg) }$

$\bf \Rightarrow{Area \: \leadsto\: Length \: + \: Breadth }$

$\sf \bf \bold{Formula \: of \: Triangle} \: \downarrow$

$\bf \Rightarrow{Perimeter \: \leadsto \: Sum \: of \: all \: sides }$

$\bf \Rightarrow{Area \: \leadsto\: \frac{1}{2} × base × height }$

$\sf \bf \bold{Formula \: of \: Circle} \: \downarrow$

$\bf \Rightarrow{Circumference\: \leadsto \: 2\pi r }$

$\bf \Rightarrow{Area \: \leadsto\: \pi {r}^{2} }$

$\sf \bf \bold{Formula \: of \: Semi-circle} \: \downarrow$

$\bf \Rightarrow{Perimeter \: \leadsto \:diameter \: + \: \pi r }$

$\bf \Rightarrow{Area \: \leadsto\: \frac{1}{2} \bigg(\pi {r}^{2} \bigg) }$

$\sf \bf \bold{Formula \: of \: Parallelogram} \: \downarrow$

$\bf \Rightarrow{Perimeter \: \leadsto \: 2 \: \bigg(a \: + \: b \: \bigg)}$

$\bf \Rightarrow{Area \: \leadsto\: base \: \times \: height }$