Examples with solutions for Area of a Triangle: Worded problems

Exercise #1

A hotel plans to build a special pool in its garden in the shape of a triangle.

The length of the pool 10 meters and its width 8 meters.

The pool is covered with tiles. The length of each tile is 2 meters and its width is 2 meters.

How many tiles do you need to cover the pool area?

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Video Solution

Step-by-Step Solution

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

A.triaˊnguloA.baldosa \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

A.triangulo=1082=40 \text{A.triangulo=}\frac{10\cdot8}{2}=40

Given=h=length=10 10 meters

Given=base=width=8 8 meters

Given that the length is 2 2 meters

The width: 2 2 meters

Tile area 22=4 2\cdot2=4

404=10 \frac{40}{4}=10

Answer

10 tiles

Exercise #2

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?

666

Video Solution

Answer

18 paint boxes

Exercise #3

In a square-shaped recreation space, they want to paint part of it white so that the shape of the white paint is triangular.

The length of the play area 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?

666

Video Solution

Answer

18 paint boxes