Answer:
( x + 14) ft
Step-by-step explanation:
[tex]length \: of \: rectangle = \frac{area \: of \: rectangle}{width \: of \: rectangle} \\ \\ = \frac{ {x}^{2} + 17x + 42}{x + 3} \\ \\ = \frac{ {x}^{2} + 14x + 3x + 42}{x + 3} \\ \\ = \frac{ x({x} + 14) + 3(x + 14)}{x + 3} \\ \\ = \frac{ ({x} + 14) (x+ 3)}{x + 3} \\ \\ = x + 14 \\ \therefore \: length \: of \: rectangle =( x + 14) \: ft[/tex]
Answer:
Step-by-step explanation:
area= L×W
L×(x+3)= x²+17x+42
L×(x+3)= (x+3)(x+14)
by dividing (x+3) from both sides
∴ L=(x+14)
