Question

Can someone explain how to do numbers 1,2 and 4?please!

Answer 1

`\boxed{\text{B. 7x - 2; C. 2x + 7; B. x+ 2}}`

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

`\text{The width of the pool is }\boxed{\textbf{7x - 2}}`

Q2.

l = A/w = (6x² + 29x + 28)/(3x + 4)

2x + 7

3x + 4)6x² + 29x + 28

6x² + 8x

21x + 28

21x + 28

0

`\text{The width of the garden is }\boxed{\textbf{2x + 7}}`

Q4.

w = A/l= (x² -4)/(x - 2)

x + 2

x - 2) x² - 4

x² - 2x

2x - 4

2x - 4

0

`\text{The length of the rectangle is }\boxed{\textbf{x+ 2}}`