bryoninez05
bryoninez05 bryoninez05
  • 24-01-2021
  • Mathematics
contestada

A rectangle has a length of 5r - 6 and a width of 2r + 3. Find the area.

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highwireact
highwireact highwireact
  • 24-01-2021

Answer:

[tex]10r^2+3r-18[/tex] sq. units

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width, so in this case:

[tex]A=(5r-6)(2r+3)[/tex]

We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:

[tex](5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18[/tex]

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