74.0k views
16 votes
Write a polynomial in standard form that represents the area of the shaded region.

Write a polynomial in standard form that represents the area of the shaded region-example-1
User Jibran K
by
6.5k points

1 Answer

4 votes

Answer:


A=p^2-2p-3

Explanation:

The area for a triangle is given by:


\displaystyle A=(1)/(2)bh

The base is p + 1 and the height is 2p - 6. Therefore:


\displaystyle A=(1)/(2)(p+1)(2p-6)

Simplify the second term:


\displaystyle A=(p+1)((1)/(2))(2p-6)=(p+1)(p-3)

Distribute:


A=p(p-3)+1(p-3)

Distribute:


A=p^2-3p+p-3

Combine like terms:


A=p^2-2p-3

User Battmanz
by
6.9k points