Question

the perimeter of a rectangular cardboard is 96cm, if its breadth is 18cm, find the length and area of the cardboard​

Answer 1

Perimeter of rectangle=2(l+b)

96=2(l+18)

$\frac{96}{2} = l + 18$

$48 = l + 18$

$48 - 18 = l$

$30 = l$

The length of rectangle is 30 cm

Area of rectangle=l×b

=30×18

=540cm²

The area of rectangle is 540cm²

Answer 2

Given :

• Perimeter of cardboard = 96 cm
• Breadth of cardboard = 18 cm

To FinD :

• Length and Area of cardboard

SolutioN :

Use formula for Perimeter of rectangle :

⇒Perimeter = 2(length + Breadth)

⇒96 = 2(length + 18)

⇒length + 18 = 96/2

⇒length + 18 = 48

⇒length = 48 - 18

⇒length = 30

$\therefore$ Length of cardboard is 30 cm

______________________

Now, use formula for Area of rectangle :

⇒Area = length * breadth

⇒Area = 30 * 18

⇒Area = 540

$\therefore$ Area of Cardboard is 540 cm²