Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
