Answer:
Option D is correct.
Step-by-step explanation:
Height of prism = 14 units
Volume of prism = 840 cubic units
Perimeter of base = ?
Volume of Prism = Base Area * Height
840 = Base Area * 14
=>Base Area = 840/ 14
Base Area = 60 square unit.
Now Area of pentagon:
[tex]Area=\frac{a^2}{4}\sqrt{5(5+2\sqrt{5}}[/tex]
We need to find a, where Area = 60
[tex]60=\frac{a^2}{4}*6.88\\60=a^2*1.72\\=>a^2=60/1.72\\=>a^2=34.88\\=>a=\sqrt{34.88}\\ a=5.91[/tex]
The pentagon has 5 sides.
So, perimeter of base = 5*a
perimeter of base = 5* 5.91
perimeter of base = 29.55 ≈ 30 units
So, Option D is correct.
Answer:
D is correct
Step-by-step explanation:
just took the test on edg 2020
