The student is provided with three questions: 1. The price of a loaf of bread last week was x. This week, the price rose by 20%. Determine the price of the loaf after the increase. 2. Four men takes x

The price of the loaf after the increase is $\boxed{\text{1.2x}}$.

Question 2:
Four men takes $x$ days to paint a room. How long will it take 16 men working at the same rate to paint the room?

The total work (men $\times$ days) remains constant.

Here, $M_1 = 4$ men, $D_1 = x$ days, $M_2 = 16$ men. We need to find $D_2$.

It will take 16 men $\boxed{\text{}\frac{x}{4}\text{ days}}$.

Question 3:
Write 0.009 in standard form.

The decimal point moved 3 places to the right.

In standard form, 0.009 is $\boxed{\text{9} \times \text{10}^{-3}\text{}}$.

Question 4:
Simplify the following expression: $\frac{7x-7}{9x-9}$

The simplified expression is $\boxed{\text{}\frac{7}{9}\text{}}$.

Question 5:
The figure at the right is a sketch of a piece of land. The lengths are in meters.

a) Write and simplify an algebraic expression for perimeter of the land.

b) If the shortest side is 9 m, what is the perimeter of the land?

The figure shows a right-angled triangle with legs $x$ and $x+6$.

a) Write and simplify an algebraic expression for perimeter of the land.

Let the hypotenuse be $h$.

The algebraic expression for the perimeter is $\boxed{\text{2x + 6 + }\sqrt{\text{2x}^2 \text{+ 12x + 36}}\text{ meters}}$.

b) If the shortest side is 9 m, what is the perimeter of the land?

The sides are $x$, $x+6$, and $\sqrt{2x^2 + 12x + 36}$. Since $x$ is a length, $x > 0$.
Comparing $x$ and $x+6$, $x$ is clearly shorter. The hypotenuse is always the longest side in a right triangle.
So, the shortest side is $x$.

The perimeter of the land is approximately $\boxed{\text{41.49 meters}}$.