Answer:
Explanation:
Given
Length of the base of the rectangular box
![= 2x +5](https://img.qammunity.org/2022/formulas/mathematics/college/x2332um6r96lcoyef48g42r5ohvp8gzfa8.png)
Width of the base of the rectangular box
![= x](https://img.qammunity.org/2022/formulas/mathematics/high-school/4y95wvkmv8wtrt9alpbbhsplcqb4ie9wst.png)
Area of the base of the rectangular box
![= (2x + 5)(x)\\= 2x^2 + 5x](https://img.qammunity.org/2022/formulas/mathematics/college/ws1dnh5n2a4vmoqr0pihztymi8o5sl8r9f.png)
a) Given
Area of the base of the rectangular box
square centimeter
It can also be written as
![2x^2 + 5x = 58\\2x^2 + 5x - 58 = 0](https://img.qammunity.org/2022/formulas/mathematics/college/xa8dqmytcrt8nr7n10m0mnrdrbotm96uxp.png)
b) See the attached image
c) Volume
Base Area * height
![58 * (x-2)](https://img.qammunity.org/2022/formulas/mathematics/college/wva35pd7yz8317uxz0ryotficcx776j7xg.png)
![x = -1.25 + (22.11)/(4) \\x = 4.27](https://img.qammunity.org/2022/formulas/mathematics/college/qffl45eitqie2w8b95xk6ritzpku0atg9m.png)
Volume
cubic centimeter