When dealing with a quadratic equation, you usually assign the following name to the coefficients of the variables:
So, is the coefficient of
,
is the coefficient of
and
is the constant term.
In your case, the coefficient of is -3, so
The coefficient of is -2, so
The constant term is 6, so
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>