Answer :
Answer:
l = (7x² + 3) m; w = 2x² m
Step-by-step explanation:
(1) Monomial factors
Factors of 6: 1, 2, 3, 6
Factors of 14: 1, 2, 7, 14
The highest common factor of 6 and 14 is 2.
Factors of x²: x, x²
Factors of x⁴: x, x², x³, x⁴
The highest common factor of x² and x⁴ is x².
The highest common factor of 6x² and 14x⁴ is 2x².
(2) Solve for length and width
Data:
(1) A = 14x⁴ + 6x²
(2) w = 2x²
Calculations:
A = lw Divide each side by w
(3) l = A/w Insert (1) and (2) into (3)
l = (14x⁴ + 6x²)/(2x²) Divide both sides by (2)
l = (7x² + 3)