Given:

• The width of a RECTANGLE is 16cm.
• The perimeter of the rectangle is 80 cm.

Need To Find:

• Length of the rectangle =?
• Area of the rectangle =?

ExPlanation:

• The width of a rectangle is 16cm. [Given]
• The perimeter of the rectangle is 80 cm. [Given]

We KNOW that:

• Perimeter of the rectangle = 2 ( length + breadth)

1st Case:

• We have to find the length of the rectangle,

So,

Let the length of the rectangle be x.

As we know that,

• Perimeter of the rectangle = 2 ( length + breadth)

Substituting the values in the above formula, we get,

➠ 2 ( L + b ) = 80

➠ 2 ( x + 16 ) = 80

➠ x + 16 = 80 / 2

➠ x + 16 = 40

➠ x = 40 - 16

➠ x = 24

Now, We know that the value of x = 24.

• THEREFORE, length of the rectangle = 24 cm.

2nd Case:

• We have to find the Area of rectangle,

It is Given that,

• Breadth of the rectangle = 16 cm.
• Length of the rectangle = 24 cm

Now,

We know that,

• Area of rectangle = Length × Breadth

Substituting the values in the above formula, we get,

= 24 × 16

= 384

• Therefore, Area of the rectangle = 384 cm².