Question

Consider a square and a regular hexagon. One side of square is 5 feet longer than the side of hexagon, and the two figures has same perimeter. what are the lengths of the sides of each figure?

Answer 1

let *s* be the length of the side of the square and *h* be the length of the side of the hexagon

s=h+5
4s=6h

multiply the fisrt equation by 4

4s=4h+20
4s=6h

4h+20=6h
20=2h
h=10

s=h+5
s=10+5
s=15