Determine a polynomial that represents the area of the figure (triangle), whose height is m-7n and length is m+7n

Answer 1

Area of triangle = 1/2 x (length) x (height)

= 1/2 x (m+7n) x (m-7n)

Use product rule to find (m+7n) (m-7n) = (m²-49n²)

Multiply the above result with 1/2: 1/2 (m²-49n²)

Answer 2

Since the area of a Triangle is 1/2(bh) and (m-7n)(m+7n) multiplies out to the difference of two squares

The polynomial is

1/2(m² - 49n²)

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