Question

Find the perimeter of a rectangle of length a cm and breadth b cm . Divide the perimeter by two and then square it. Write the algebric expression obtained.

Answer 1

Answer:

$a^{2} +2ab+b^{2}$

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Step-by-step explanation:

Length = a , Breadth = b

Perimeter of Rectangle = 2( a + b )

Now,

$(\frac{Perimeter}{2} )^{2}$

⇒$(\frac{2(a + b)}{2} )^{2}$

⇒$(a+b)^{2}$

⇒$a^{2} +2ab+b^{2}$