Question

the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectangle, giving your answer in its simplest form

Answer 1

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

`Perimeter=2(Length+Width)`

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

`Perimeter=2((x+2)+x)`

`Perimeter=2(2x+2)`

`Perimeter=2(2x)+2(2)`

`Perimeter=4x+4`

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.