Problem of the Week Day 4: Week of 6/17/13 - 6/21/13

Today is day four of the problem of the week! We already covered trigonometry, algebra, and number theory, so I will devote today to geometry. Good luck!

Easy:
Take the following rectangle:

What is the area and perimeter of this rectangle? Since a and p were already used on the triangle, use b for the area and q for the perimeter (just move up a letter).

b = _____
q = _____

Medium:
First, determine the values of u and q.

u = n ÷ 1000
q = p ÷ 2

Now, take the following trapezoid, using these values:

What is the area of this trapezoid? Use a for area.

u = _____
q = _____
a = _____

Hard:
Find the area t of a regular polygon with x₃(b - a - c) sides and a perimeter of q. Round to the nearest hundredth.

t = _____

Good luck!