Mathematics, 22.08.2019 10:10 angellove1707
You are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimensions shown
a. write a polynomial that represents the volume of the birdhouse
b. what are the dimensions of the birdhouse ?
show your work
Answers: 1
![a.\\V-the\ volume\\\\V(w)=4\cdot w\cdot (w+4)=4w^2+16w\ [in^3]\\\\b.\\V=128\ in^3\ \ \ \Rightarrow\ \ \ 4w^2+16w=128\ \ \ \Rightarrow\ \ \ 4w^2+16w-128=0\ /:4\\\\w^2+4w-32=0\\\\w^2+4w+4-36=0\ \ \ \Leftrightarrow\ \ \ (w+2)^2=36\\\\w+2=6\ \ \ \ \ or\ \ \ \ \ w+2=-6\\\\w=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ w=-8\ \ \ \ (and\ \ \ w0)\\\\w=4\ \ \ \Rightarrow\ \ \ w+4=8\\\\Ans.\ the\ dimensions\ of\ the\ birdhouse:\ \ 4\ in,\ 4\ in,\ 8 \ in](/tpl/images/0187/5802/59315.png)
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You are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimens...
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