Answer:
Length = 17m
Width = 11m
Step-by-step explanation:
Expression for the area of the rectangle = 6x² + 19x + 15
Factorising the quadratic expression
6x² + 19x + 15 = (6x² + 9x) + (10x + 15) = 3x(2x + 3) +5(2x + 3) = (3x + 5)(2x + 3)
x = 4m
Length = 3x + 5 = 3(4) + 5 = 12 + 5 = 17m
Width = 2x + 3 = 2(4) + 3 = 8 + 3 = 11m
