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Find a simplified expression to represent the area of the triangle. The area formula for a triangle is bh, where b is the base and h is the height.



A triangle where the height of the triangle is labeled (2 x + 12) centimeters, the base is labeled (4 x minus 2) centimeters, and the hypotenuse is blank.

The expression that represents the area of this triangle is x2 + x + cm2.

Respuesta :

Chelboy

Answer:4x^2+22x-12

Step-by-step explanation:

height=(2x+12)

base=(4x-2)

Area of =(base x height)/2

Area of =((4x-2)(2x+12))/2

Area of =(8x^2+48x-4x-24)/2

Area of =(8x^2+44x-24)/2

Area of =4x^2+22x-12

Eduard22sly

The expression that represents the area of the triangle is 4x² + 22x – 12

Area of a triangle

The area of a triangle can be obtained by using the following formula:

A = ½bh

Where

A is the area

b is the base

h is the height

How to determine the area of the triangle

  • Height (h) = 2x + 12
  • Base (b) = 4x – 2
  • Area (A) =?

A = ½bh

A = ½[(4x – 2)(2x + 12)]

Expand

A = ½[8x² + 48x – 4x – 24]

A = ½[8x² + 44x – 24]

A = 4x² + 22x – 12

Learn more about area of triangle:

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