What is the answer to Lenny Conundrum 242 on Neopets?

Answer 1

The answer to this Lenny Conundrum is 358.

In order to find the answer, you had to find the area of the green triangle (or really, any of the triangles). The only information provided is the area of the pentagon: 800 cm2. So first, you had to find the length of any one of the sides of the pentagon. To do this, you needed to know the appropriate formula:

0.25 t2 * (25 + 10*(5)0.5)0.5

When you completed the formula, you got a very long number (1.720477401 t2). Because the area of the pentagon is 800 cm2, t is 21.5635622735 centimeters.

Then you needed to find the height of the triangle (since the base = t = 21.5635622735 cm). The following formula would have to be used to calculate the height:

h = b* sin(72°)/sin(18°) = 0.5 * 21.5635622735 * sin(72°)/sin(18°) = 33.1829103

Once you found the height, you simply had to plug it into a formula to find the area of a triangle: (base * height)/2. Completing that formula would give you the answer 357.77, which you had to round up to the nearest whole number: 358.