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

User Yshalbar
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Answer:Area of triangle is 2xx + 18x + 36 square units

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

A triangle has a base of 4x+12 and a height of x+6 what is the area-example-1
User Chrisitine
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