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The rectangle below has an area of 14x^4 + 6x^2 square meters. The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x^4 and 6x^2. What is the length and width of the rectangle?

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MrsStrong

Answer:

[tex]w=2x^2[/tex] and [tex]l = (7x^2+3)[/tex]

Step-by-step explanation:

The area of a rectangle is [tex]14x^4+6x^2[/tex] which factors through GCF, by finding the greatest common monomial factor between the two.

[tex]14x^4+6x^2 = 2*7x^4 + 2*3x^2 = 2x^2(7x^2+3)[/tex]

The length and width of the rectangle are [tex]w=2x^2[/tex] and [tex]l = (7x^2+3)[/tex].

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