Question

What is Formula Of Rectangle
in perimeter and area.

class 7th ......​

Answer 1

Answer:

Area = length x breadth

Perimeter = 2(l+b)

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Derivation

Since the perimeter is equal to the sum of all the sides of the polygon. Hence, in the case of a rectangle, the perimeter (P) is;

P = sum of all its four sides

P = a + b + a + b   (Opposite sides of rectangle are equal)

P = 2(a + b)

Hence, derived.

Therefore,

Perimeter of a rectangle = 2(Length + Width) square units

Now let us write the formula for the area of a rectangle, with respect to same above given figure;

Area of a rectangle = Length × Width = a × b

______________________________________________________

Area of rectangle ABCD = Area of ∆ABC + Area of ADC

Since, ABC and ADC are both equivalent triangles, therefore,

Area of ∆ABC = Area of ADC = ½ x base x height = ½ x b x h

Area (ABCD) = 2(½ x b x h)

Area (ABCD) = b x h

Since base of triangles are equal to breadth of rectangle and height is the breadth of rectangle, therefore,

Area (ABCD) = Length x Breadth