In the figure, side AB is given by the expression 5x+5x+3, and side BC is 3x+92x−4.

The simplified expression for the area of rectangle ABCD is ________

and the restriction on x is_____

Question

In the figure, side AB is given by the expression 5x+5x+3, and side BC is 3x+92x−4.

The simplified expression for the area of rectangle ABCD is ________

and the restriction on x is_____

anonymous · Answer

@iGreen

igreen · Answer

Multiply them together..

$(5x + 5x + 3)(3x + 92x-4)$

Are those the two expressions?

anonymous · Answer

oh okay and yes

igreen · Answer

Well first we can simplify them..can you add $5x + 5x$?

anonymous · Answer

yeah, wouldnt that be 10x2 ?

igreen · Answer

Just 10x, yes..

Now what about 3x + 92x?

anonymous · Answer

wait its actually 5x+5 over x+3 and 3x+9 over x-4

anonymous · Answer

ma bad

igreen · Answer

Oh, so it's:

$(5x + 5^{x + 3})(3x + 9^{x - 4})$

anonymous · Answer

(5x+5)/(x+3) x (3x+9)/(x-4)

igreen · Answer

Oh..so it's:

$\dfrac{5x+5}{x + 3} \cdot \dfrac{3x+9}{x-4}$

anonymous · Answer

yess haha

anonymous · Answer

im about to go tto my next class, ill be back here tomorrow

igreen · Answer

Oh..well

$\dfrac{5x+5}{x + 3} \cdot \dfrac{3x+9}{x-4} \rightarrow \dfrac{(5x+5)(3x+9)}{(x+3)(x-4)}$