Question

the perimeter of a rectangle is 76 cm if it's breath is 16 cm find its lenght​

Answer 1

Answer :

• length is 22cm

Given :

• Perimeter of rectangle is 76cm
• Breadth is 16cm

To find :

• Length

Solution :

As we know that ,

• Perimeter of rectangle = 2(l + b)

⟿ Perimeter of rectangle = 2(length + breadth)

⟿ 76 = 2(l + 16)

⟿ l + 16 = 76/2

⟿ 38 = l + 16

⟿ l = 38 - 16

⟿ l = 22 cm

Hence , length is 22cm

Verification:

• Perimeter of rectangle = 2(l + b)

where , length is 22 cm and breadth is 16 cm

⟿ Perimeter of rectangle = 2(length + breadth)

⟿ 2(22 + 16)

⟿ 2(38)

⟿ 76 cm

Hence Perimeter of rectangle = 76cm

Answer 2

Given :-

• Perimeter of a rectangle = 76 cm
• Breadth of the rectangle = 16 cm

To Find :-

• Length of the rectangle

Solution :-

$\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}$

${\mid {\fbox{Perimeter\;of\;rectangle=2(l+b)}}\mid}$

Where ,

• l is the length
• b is the breadth

→ Let's put the values in this formula !

$\sf \leadsto 2 ( 16 + length ) = 76$

$\sf \leadsto ( 16 + length ) = \dfrac{76}{2}$

$\sf \leadsto ( 16 + length ) = 38$

$\sf \leadsto length = 38 - 16$

$\sf \leadsto length = 22 \; cm$

∴ Length of the rectangle is 22 cm

More Formulas :-

➺  Perimeter of a square = 4 ( Side )

➺ Perimeter of a rectangle = 2 ( Length + Breadth )

➺ Perimeter of a Triangle = Sum of all Sides

➺ Perimeter of a Circle = 2πr