A triangle has a base of 4x+12 and a height of x+6 what is the area

Area of triangle is  2xx + 18x + 36  square units

Step-by-step explanation:

We are not given the value of x.

So we express the area in terms of x.

Using the formula for a triangle, we have:

Area = A = (1/2)*base*height

A = (1/2)*(4x + 12) *(x +6)

There are no units given so I will assume the Area units are "units squared"

Let us distribute the (1/2) into the binomial (4x + 12)

We get:  (1/2)*4x + (1/2)*12 =  2x + 6

Area = A = (2x + 6) *(x + 6)  ,   use distributive property

A = (2x + 6)* x  +  (2x + 6)*6

A = 2*x*x + 6x + 12x + 36

A = 2x*x + 18x + 36

SR = 22 cm

Step-by-step explanation:

area = bh/2

(21 cm)(h)/2 = 231 cm^2

21h = 462 cm

h = 22 cm

SR = 22 cm