Respuesta :

So you would have to set up a equation to find the length and width. The equation would be w+(w+2)=16

that simplifies to 2w+2=16

2w=14

w=7

the width is 7

the length is 9

The length is 5 feet and the width is 3 feet.

Rectangle:

  • A rectangle is a quadrilateral with four right angles in the Euclidean plane.
  • It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.
  • A square is a rectangle with four equally long sides.

The perimeter of the rectangle:

[tex]2(l+w)[/tex]

Solution -

Given -

L is 2 feet longer than W and the perimeter is 16.

Let, [tex]w=x[/tex] and [tex]l=x+2[/tex].

[tex]16=2(l+w)\\16=2[(x+2)+x]\\16=2(x+2+x)\\16=4x+4\\16-4=4x\\4x=12\\x=\frac{12}{4} \\x=3\\[/tex]

∴ [tex]x+3=5[/tex]

Therefore, the length is 5 feet and the width is 3 feet.

Know more about rectangles here:

https://brainly.com/question/25292087

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