Area of a Triangle: Worded problems

To find out how many tiles are needed we will calculate the triangular area and the area of each tile and then divide.

$\frac{\text{A.triángulo}}{A.baldosa}$

The result is equal to the number of tiles needed.

In a triangle its length is equal to its height and its width is equal to the base of the triangle

$\text{A.triangulo=}\frac{10\cdot8}{2}=40$

Given=h=length=$10$ meters

Given=base=width=$8$ meters

Given that the length is $2$ meters

The width: $2$ meters

Tile area $2\cdot2=4$

$\frac{40}{4}=10$

To solve this problem, we'll need to calculate the area of the triangle to determine the exact number of paint buckets required:

• Step 1: Identify the base and height of the triangle.
  The square's side length is 6 meters, and from the diagram, the triangle appears to have its base and height both as 6 meters.
• Step 2: Calculate the area using the formula:
  $\text{Area of triangle} = \frac{1}{2} \times \text{base} \times \text{height}$
  Substituting the known values, we get:
  $\frac{1}{2} \times 6 \times 6 = 18 \text{ square meters}$
• Step 3: Determine the number of buckets needed.
  One bucket of paint covers 1 square meter, so for 18 square meters, we need 18 buckets.

Therefore, the solution to the problem is $18 \text{ paint boxes}$.