Answer:
The area of the plastic mat on the bottom of the cage is
![310\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vwv2ygv8jq9q70ve8fhnb4h2q3k4h4gwij.png)
Explanation:
The correct volume of the question is 8,680 cubic inches
we know that
The volume of the rectangular prism (Eloise's rabbit cage) is equal to
![V=Bh](https://img.qammunity.org/2021/formulas/mathematics/middle-school/98yqxpekwq7axh35wvv4ldln98lt74fjll.png)
where
B is the area of the base of rectangular prism
h is the height of the prism
we have
![V=8,680\ in^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lxv2jhb0yblj35bwzhbf8fns6lfa9ky1wr.png)
![h=28\ in](https://img.qammunity.org/2021/formulas/mathematics/middle-school/s27dqrc3riidgls6qz9bc3t7uyhd5ujp9w.png)
substitute in the formula and solve for B
![8,680=B(28)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1qklds0zizpbysd2rx46cq2efwnyo992zo.png)
![B=8,680/(28)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e923xg397xp29x5hv9lrjp88op6n95c336.png)
![B=310\ in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hvi21gotvfr82tukf7tmti6za663q0kqwj.png)