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Mathematics 14 Online
OpenStudy (anonymous):

Which of the following represents the area of a rectangle whose length is x - 7 and whose width is x + 12?

OpenStudy (anonymous):

\[x^2+5x-84\] \[x^2-84\] \[x^2-5x-84\] \[x^2-84x+5\]

OpenStudy (mathstudent55):

If a rectangle has length x and width y, what is the area?

OpenStudy (anonymous):

(x-7)*(x+12)?

OpenStudy (anonymous):

Formula: A=l*w

OpenStudy (anonymous):

Yes @Cubi-Cal

OpenStudy (mathstudent55):

Correct. You multiply the length and width.

OpenStudy (mathstudent55):

Now you need to multiply those two binomials together. Have you heard of FOIL?

OpenStudy (mathstudent55):

\(A = (x - 7)(x + 12) \)

OpenStudy (anonymous):

Okay, so that would be x^2+5x-84

OpenStudy (mathstudent55):

To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

OpenStudy (mathstudent55):

Correct. Answer is A.

OpenStudy (anonymous):

Thank you all!

OpenStudy (mathstudent55):

You're welcome.

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