Answer:
20
Step-by-step explanation:
Because it is a square table, that means all the sides are even. And to find the area, we do Height * Base. But again, because they're even, we would just need to find 2 numbers that multiply to be 400. And that number, is 20. 20 * 20 = 400. So the length of one side is 20.
Pythagora: 20^2=(4x)^2+(3x^2)
400=16x^2+9x^2
x^2=400/25
x^2=16
x=4
We need the options or we can’t do it
Given:
Lateral Area = π * r * (√h² + r²)
Lateral Area = 100 in² ; height = 5 in
I find it hard to derive the formula of r because of the radical sign. So, I'll just plug each radius to the formula to check confirm the given lateral area.
a) r = 1.52138 ⇒ LA = 24.98
b) r = 4.658 ⇒ LA = 100
c) r = 78 ⇒ LA = 19152.68
d) r = 6.7432 ⇒ LA = 177.84
The radius is B.) r = 4.658 inches
