You write 97.356 as ninety-seven and because of the decimal 356 thousandths
Given:
length 30 inches
k = 24
v = l * w * h
volume varies directly w/ the length: v = kl
v = 24 * 30 = 720
k = wh
24 = wh
w = 24/h or h = 24/w
P = 2w + 2h
20 = 2w + 2h
20 = 2(24/h) + 2h
20 = 48/h + 2h
48/h + 2h - 20 = 0
h(48/h + 2h - 20) = 0
48 + 2h² - 20h = 0
2h² - 20h + 48 = 0
2(h² - 10h + 24) = 0
2(h - 6)(h - 4) = 0
h = 6 or h = 4
Since the height serves as the length in the perimeter equation, then its measure is 6 and width is 4.
length = 30 ; width = 4 ; height = 6.
I believe the answer is C.