The rectangle below has an area of 55x^6 + 22x^4 square meters. the width of the rectangle (in meters) is equal to the greatest common monomial factor of 55x^6 and 22x^4. what is the length and width of the rectangle?

The width is 11x⁴ and the length is 5x²+2

Step-by-step explanation:

Thee GCF of 55x⁶ and 22x⁴ can first be found by finding the GCF of 55 and 22:

55 = 11(5)

22 = 11(2)

The only thing they have in common is 11.

Since 55x⁶ has 6 x's and 22x⁴ has 4, the GCF will have 4 x's; this means

11x⁴ is the GCF, which means it is the width.

Factoring this out of 55x⁶+22x⁴, we have

11x⁴(5x²+2); so 11x⁴ is the width and 5x²+2 is the length.

the 4th choice is the correct one

step-by-step explanation: