Question

The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 28 meters and its length is 2 meters more than twice it’s width.
What is it’s Length ?

Answer 1

The perimeter of the rectangle

=

28

meters.

Let the width be denoted as

x

,

The length

=

2

+

2

×

(

x

)

=

2

+

2

x

(length is 2 meters more than twice the width)

The formula for perimeter of a rectangle is :

perimeter =

2

×

( width + length )

28

=

2

×

(

x

+

2

+

2

x

)

28

=

2

×

(

3

x

+

2

)

28

=

2

×

(

3

x

)

+

2

×

(

2

)

28

=

6

x

+

4

6

x

=

28

−

4

6

x

=

24

x

=

24

6

The width

x

=

4

meters.

The lenght

2

+

2

x

=

2

+

2

×

4

=

2

+

8

=

10

meters.

Answer 2

The length is 9 meters long.