Question

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?

Answer 1

`w=2x^2` and
`l = (7x^2+3)`

Explanation:

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

`14x^4+6x^2 = 2*7x^4 + 2*3x^2 = 2x^2(7x^2+3)`

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