Louis wants to carpet the rectangular floor Of his basement the basement has an area of 1734 ft.² the width of the basement is 2/3 it’s linked what is the length of Luis’s basement

The length of the basement is 51 ft

Step-by-step explanation:

Knowing that the basements area is 1724 ft² we know that we have to multiply the length and the width together. Since we don't know the length we can substitute the value for X. If the width is 2/3X we would multiply it by X (the length) so our equation would look like this:

(2/3X)(X) = 1734 > 2/3X² = 1734

To get rid of the fraction we can multiply both sides by the reciprocal

(3/2)2/3X² = 1734(3/2)

The fractions on the left side will cancel and on the right side we will multiply 1734 by 3 then divide the product by 2.

X² = 2601

Lastly we take the square root of both sides

X = 51

  the correct choice is marked

step-by-step explanation:

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