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he 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 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units?

Fraction 2 over 3 unit
1 unit
1Fraction 2 over 3 units
2 units

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ANSWER

D. 2 units

EXPLANATION

The expressions for the perimeter is;

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




The length of the rectangle is

[tex]l = \frac{2}{3 } \: units[/tex]


and the width of the rectangle is,

[tex]w = \frac{1}{3} [/tex]

We substitute these values into the formula to obtain,


[tex]P =2 ( \frac{2}{3} + \frac{1}{3} )[/tex]

We simplify the equivalent fractions in the bracket to obtain,

[tex]P =2 ( \frac{2 + 1}{3})[/tex]


[tex]P =2 ( \frac{3}{3})[/tex]


[tex]P =2 ( 1)[/tex]


[tex]P =2 \: units[/tex]

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