Question

The length and breadth of a rectangle are (a + 5b) units and (7a - b) units respectively. Find the area and perimeter of the rectangle

Answer 1

Answer:

The formula of perimeter and area of rectangle are explained step-by-step with solved examples.

If l denotes the length and b denotes the breadth of the rectangle, then the



● Perimeter of the rectangle = 2(l + b) units

● Length of the rectangle = P2 - b units

● Breadth of the rectangle = P2 - l units

● Area of the rectangle = l × b sq. units.

● Length of the rectangle = Ab units .

● Breadth of the rectangle = Al units

● Diagonal of the rectangle = √l2+b2 units

Let us consider a rectangle of length 'a' units and breadth 'b' units.   



Therefore, perimeter of the rectangle ABCD        

                   = (AB + BC + CD + DA) units

                   = (a + b + a + b) units

                   = (2a + 2b) units

                   = 2 (a + b) units

Therefore, perimeter of the rectangle = 2 (length + breadth) units 

We know that the area of the rectangle is given by 

Area = length × breadth

A = a × b square units 

⇒ a = AbAb, i.e.,        length of the rectangle = AreabreadthAreabreadth

And b = AaAa, i.e.,     breadth of the rectangle = Arealengt