15pts! (multiple choice answer) answer with work

To find the area of a rectangle, we multiply the Base by the Height.                        In this case the:   Base = AB   and     Height = BC  

So to get the area, we multiply AB by BC.                                               (and we know that BC = 5x+5/x+3 and BC = [3x+9/2x-4)  

So we would do:

x                              

Note: When multiplying fractions together, we multiply the numerator by the numerator, and the denominator by the denominator.                                        

For example x =    

x =

= [Note: we are able to factorise some brackets to make the sum easier. For example we can factor out the 5 in (5x+5) to get: 5(x+1)   ]

Now lets simplify by multiplying the 5 and 3 together in the numerator:

=

If you notice, there is a (x+3) in numerator and the denominator. This means that we can cancel out the (x+3), to get the most simplified expression for the area:

=

Final Simplified which is the last option

Area of rectangle:

Substitute

i don’t see a picture

b is the right answer