Answer:
[tex]\boxed{\text{B. 7x - 2; C. 2x + 7; B. x+ 2}}[/tex]
Step-by-step explanation:
Q1.
The formula for the area of a rectangle is
A = lw
w = A/l = (21x² - 22x + 8)/(3x + 4)
Probably the easiest solution is to do a long division.
7x - 2
3x + 4)21x² + 22x - 8
21x² + 28x
-6x - 8
-6x - 8
0
[tex]\text{The width of the pool is }\boxed{\textbf{7x - 2}}[/tex]
Q2.
l = A/w = (6x² + 29x + 28)/(3x + 4)
2x + 7
3x + 4)6x² + 29x + 28
6x² + 8x
21x + 28
21x + 28
0
[tex]\text{The width of the garden is }\boxed{\textbf{2x + 7}}[/tex]
Q4.
w = A/l= (x² -4)/(x - 2)
x + 2
x - 2) x² - 4
x² - 2x
2x - 4
2x - 4
0
[tex]\text{The length of the rectangle is }\boxed{\textbf{x+ 2}}[/tex]
