The area of the triangle is .

Let the base of the triangle is x feet.

The height of the triangle is 6 feet more than its base, so the height is x + 6.

The area of the triangle is .

The value of are substitute in the equation, .

Multiply each side by 2.

Apply distributive property: .

Subtract 72 from each side.

.

The general factor trinomial form is .

In the above trinomial, .

Since c is negative, the factors m and p have opposite signs.

So either m or p is negative, but not both.

Since b is positive, the factor with the greater absolute value is also positive.

List the factors of , where one factor of each pair is negative and look for the pair of factors with a sum of 6.

Apply the pattern form: when .

because .

The factor form of equation is .

Apply zero product property: .

Solve the first equation, .

Solve the second equation, .

The dimensions are never express in negative sign.So the value of   is taken only.

The base of the triangle is 6 feet its height is .

The base of the triangle is its height is .