SOLUTION: Each figure is a regular polygon. Expressions are given for two side lengths. Find the value of x. a square: one side x2 + x and another side: x2 + 4 a hexagon: one side: x2 +

Algebra ->  Polygons -> SOLUTION: Each figure is a regular polygon. Expressions are given for two side lengths. Find the value of x. a square: one side x2 + x and another side: x2 + 4 a hexagon: one side: x2 +       Log On


   



Question 992982: Each figure is a regular polygon. Expressions are given for two side lengths. Find the value of x.
a square: one side x2 + x and another side: x2 + 4
a hexagon: one side: x2 + 3x and another side x2 + x + 2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a square have same sides:
x%5E2+%2B+x+=x%5E2+%2B+4
cross%28x%5E2%29+%2B+x+=cross%28x%5E2%29+%2B+4
x+=+4
sides are:
x%5E2+%2B+x=4%5E2%2B4=16%2B4=20
x%5E2+%2B+4=4%5E2%2B4=16%2B4=20

a hexagon: all sides are equal
x%5E2+%2B+3x=+x%5E2+%2B+x+%2B+2
cross%28x%5E2%29+%2B+3x=+cross%28x%5E2%29+%2B+x+%2B+2
3x=++x+%2B+2
3x-x=+2
2x=+2
x=+2%2F2
x=+1
check:
x%5E2+%2B+3x=1%5E2%2B3%2A1=1%2B3=4
+x%5E2+%2B+x+%2B+2=1%5E2%2B1%2B2=4