A rectangle exercise mat has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length in feet of the mat. What is the equation.

Respuesta :

Answer:

Length = 12 ft

Step-by-step explanation:

Given perimeter of the mat = 36ft

Length of mat = 2 times width

Let the WIDTH be "x"

LENGTH =2 * x ,= 2x

The EQUATION of the perimeter (P) of a rectangle is expressed as:

P = 2 (l + w)

Where l = length = 2x

w = width = x

36 = 2 ( 2x + x )

36 = 2 (3x)

36 = 6x

Divide through by 6

x = 36 / 6

x = 6.

Therefore, width = 6

Length = 2 * w

Length = 2*6

Length = 12ft