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 its width. What is the length and width?

1 Answer
Mar 2, 2016

The width #=4# meters.
The length # = 10# meters

Explanation:

The perimeter of the rectangle #=28# meters.

Let the width be denoted as #color(green)(x#,

The length #= 2 + color(green)( 2 xx (x) )= 2 +2x#
(length is 2 meters more than twice the width)

The formula for perimeter of a rectangle is :
perimeter = #2xx# ( width + length )

#28= 2xx (x + 2 +2x)#

#28= 2xx ( 3x+ 2 )#

#28= 2xx ( 3x ) + 2 xx (2 )#

#28= 6x + 4#

#6x = 28 - 4#

#6x = 24#

#x= 24/6#

The width #x=4# meters.
The lenght #2 +2x = 2 + 2 xx 4= 2+ 8 = 10# meters.