Problema Solution
a regular hexagon, a square and an equilateral triangle all have equal sides. If the sum of the perimeters of the square and the triangle is no more than 18 cm less than twice the perimeter of the hexagon, what is the minimum length of each side?
Answer provided by our tutors
2x - 18cm = Hex_perimeter = tri_perimeter + square_parimeter
2x - 18cm = -5x
-18 = -3x
x = 6 cm
Proof:
6cm * 3 + 6cm * 4 = 42cm (should equal 2 * 5 * 6cm - 18 cm)
42cm = 2*5*6cm - 18cm (add 18 to both sides)
60cm = 2 * 5 * 6cm
TRUE!