Ask Question
17 December, 14:54

Find the area of a triangle whose base is x² + 2x + 4 and whose height is 2x²+2x+6.

A. 3x⁴ + 9x² + 10x + 12

B. x⁴ + 3x³ + 9x² + 10x + 12

C. 3x⁴+3x³ + 9x² + 10x+12

D. x⁴ + 9x² + 10x + 12

+1
Answers (1)
  1. 17 December, 15:03
    0
    Given the following information, the area of the triangle is x⁴+3x³+9x²+10x+12

    Step-by-step explanation:

    We must know the formula for finding the area of a triangle in order to begin.

    Area = 1/2 (b*h)

    First we multiply the base and height together.

    Base = x² + 2x + 4

    Height = 2x² + 2x + 6

    (x² + 2x + 4) (2x² + 2x + 6)

    Use the foil method to solve this.

    2x⁴ + 2x³ + 6x² + 4x³ + 4x² + 12x + 8x² + 8x + 24

    Combine like terms.

    2x⁴ + 6x³ + 18x² + 20x + 24

    Now that we have our product, we have to divide this expression by 2 or 1/2.

    (2x⁴ + 6x³ + 18x² + 20x + 24) / 2

    So, the area of the triangle is x⁴ + 3x³ + 9x² + 10x + 12
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Find the area of a triangle whose base is x² + 2x + 4 and whose height is 2x²+2x+6. A. 3x⁴ + 9x² + 10x + 12 B. x⁴ + 3x³ + 9x² + 10x + 12 C. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers