Answer:
Step-by-step explanation:
Given
Length of the base of the rectangular box [tex]= 2x +5[/tex]
Width of the base of the rectangular box [tex]= x[/tex]
Area of the base of the rectangular box
[tex]= (2x + 5)(x)\\= 2x^2 + 5x[/tex]
a) Given
Area of the base of the rectangular box [tex]= 58[/tex] square centimeter
It can also be written as
[tex]2x^2 + 5x = 58\\2x^2 + 5x - 58 = 0[/tex]
b) See the attached image
c) Volume
Base Area * height
[tex]58 * (x-2)[/tex]
[tex]x = -1.25 + \frac{22.11}{4} \\x = 4.27[/tex]
Volume [tex]= 58 * 4.27 = 248.09[/tex] cubic centimeter
