The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points) Group of answer choices Fraction 5 over 7 unit 1 unit 1 Fraction 3 over 7 units 2 Fraction 5 over 7 units

Respuesta :

Given:

Length of the rectangle = [tex]\dfrac{2}{7}[/tex] units

Width of the rectangle = [tex]\dfrac{3}{7}[/tex] units.

To find:

The perimeter of the rectangle.

Solution:

We know that,

Perimeter of a rectangle = 2( l + w )

where, l is length and w is width.

Using the above formula, the perimeter of the rectangle is

[tex]P=2(\dfrac{2}{7}+\dfrac{3}{7})[/tex]

[tex]P=2(\dfrac{5}{7})[/tex]

[tex]P=\dfrac{10}{7}[/tex]

[tex]P=1\dfrac{3}{7}[/tex]

The perimeter is  [tex]1\dfrac{3}{7}[/tex] units.

Therefore, the correct option is C.