Question

A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
A rectangle with a length of l and width of w. P = 2 l + 2 w. A hexagon with side lengths of s. P = 6 s.

Answer 1

Answer:

36

Step-by-step explanation:

36

Answer 2

Answer:

The perimeter of the hexagon is equal to 36 units

Step-by-step explanation:

Let

x-------> the length side of the hexagon

L-----> the length of the rectangle

W-----> the width of the rectangle

we know that the perimeter of the hexagon is equal to the perimeter of the rectangle is equal to so

-------> equation A

-------> equation B

-------> equation C

Substitute equation B and equation C in equation A

Solve for L

Find the value of x

Find the perimeter of hexagon