Final Answer:
The value of x is 672 m²
Step-by-step explanation:
To find the value of x, we need to use the formula for the area of a triangle, which is:
Area = (base × height) / 2
Since the area of the triangle is given as 672 m², we can set up the equation:
(base × height) = 672 m²
We know that the base of the triangle is 3x cm, so we can substitute this value into the equation:
(3x × height) = 672 m²
Now, we need to solve for height. To do this, we can divide both sides of the equation by 3x:
height = (672 m²) / 3x
Simplifying this equation, we get:
height = 216 m
Now that we have the height of the triangle, we can find the value of x by substituting the height into the equation:
3x = (216 m) / height
Simplifying this equation, we get:
3x = 216 m / 216 m
3x = 1
Therefore, the value of x is 12.5 cm.
To confirm our answer, we can check that the area of the triangle is correct:
Area = (base × height) / 2
Area = (3x × 216 m) / 2
Area = 672 m²