Problema Solution
Consider a square and a regular pentagon. One side of the square is four feet longer than a side of the pentagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer provided by our tutors
let
a = the length of the side of the square
b = the length of the side of the pentagon
One side of the square is four feet longer than a side of the pentagon
a = 4 + b
the two figures have the same perimeter
4a = 5b
by solving the system of equations
a = 4 + b
4a = 5b
we find
a = 20 ft
b = 16 ft
click here to see the step by step solution of the system of equations
the length of the side of the square is 20 ft.
the length of the side of the pentagon is 16 ft.