A10. Mr. Ciklama is renting out a garden (see picture). The marked dimensions are in meters. How many square meters is the area of the garden?
(A) 10
(B) 13
(C) 30
(D) 32.5
(E) 60

![](https://cdn.mathpix.com/cropped/2024_06_07_41ad29ae87bc570f2592g-3.jpg?height=266&width=505&top_left_y=2180&top_left_x=1415)

# 5th Regional Mathematics Knowledge Competition for Vocational School Students

March 30, 2005

## II. Part: LONGER PROBLEMS


#### Abstract

Instruction: Solve problems B1 to B4 of the second part on the provided paper, where you write down the complete calculations. Carefully read each problem and answer the questions asked. The solution to each of these problems will be graded on a scale of 0 to 5 points.


Note that you have 90 minutes to solve the problems in both parts.
A10. We use the Pythagorean theorem: $(x+3)^{2}=5^{2}+(x+2)^{2}$, from which we calculate $x=10$. The area of the garden is equal to the area of a right triangle with legs measuring $5 \mathrm{~m}$ and $12 \mathrm{~m}$, which is: $\frac{5 \cdot 12}{2}=30 \mathrm{~m}^{2}$.

## II. PART