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A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The expression below represents the area of the floor of the building in square meters:

(3x + 5)(5x − 1)

Which of the following simplified expressions represents the area of the floor of the library building in square meters?

28x − 5
15x2 − 5
15x2 + 28x − 5
15x2 + 22x − 5

Respuesta :

merlynthewhizz
We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

[tex](3x+5)(5x-1)[/tex]

Front ⇒[tex](3x)(5x)=15 x^{2} [/tex]
Outside ⇒[tex](3x)(-1)=-3x[/tex]
Inside ⇒[tex](5)(5x)=25x[/tex]
Last ⇒[tex](5)(-1)=-5[/tex]

Put the four terms together we have
[tex]15 x^{2} -3x+25x-5 [/tex], then collect like terms
[tex]15 x^{2} +22x-5[/tex]
MrRoyal

The simplified expression for the area of the rectangle is 15x^2 + 22x - 5

How to determine the simplified expression?

The area expression is given as:

(3x + 5)(5x − 1)

Expand

(3x + 5)(5x − 1) = 15x^2 - 3x + 25x - 5

Evaluate the like terms

(3x + 5)(5x − 1) = 15x^2 + 22x - 5

Hence, the simplified expression for the area is 15x^2 + 22x - 5

Read more about expressions at:

https://brainly.com/question/723406

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