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Answer:

Look below

Step-by-step explanation:

(a) The area of a triangle is:

[tex]A=\frac{1}{2}bh[/tex]

The height of this triangle is h and it's base is 4+h so...

[tex]A=\frac{1}{2}*[h*(h+4)][/tex]

[tex]A=\frac{1}{2}*(h^2+4h)\\A=\frac{h^2}{2}+2h[/tex]

(b) If the height is 8 cm, then the base is 4+8 which is 12 cm so...

[tex]A=\frac{1}{2}*8*12=4*12=48 \ cm^2[/tex]

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