Answer:
We know that the area of a triangle is:
1/2 * base * height
We are given:
base = x + 6
height = x
area = 108 m^2
Applying the formula:
Area = 1/2 * base * height
108 = 1/2 * x * (x + 6)
x² + 6x = 216
x² + 6x - 216 = 0
x² + 18x - 12x -216 = 0 (Splitting the middle term)
x(x + 18) - 12(x + 18) = 0
(x + 18) (x - 12) = 0
Hence, we have 2 possible values for x: -18 or 12
Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x
Therefore, x = 12