Calculate Triangle Area: Paint Coverage in 6-Meter Square Playground

Question

In a square-shaped playground, they want to paint a part of it orange so that the shape of that color is a triangle.

The length of the playground is 6 meters.

one box of paint is required for each meter of paint.

How many buckets of paint do you need to paint the triangular area?

00:00 Determine how many boxes are needed to paint the triangle area

00:03 Apply the formula to calculate the area of the triangle

00:07 (base x height) divided by 2

00:13 Substitute in the relevant values according to the given data and solve to find the area

00:18 This is the triangle's area

00:23 The area covered by one paint box

00:28 We'll divide the triangle area by the area covered by one paint box

00:31 This is the solution

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 $18 \text{ paint boxes}$ .

18 paint boxes