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

36 units

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Explanation:

Answer 2

The perimeter of the hexagon is equal to 36 units

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