Question

The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.

Answer 1

Answer:

The length of the window is 18 ft and its height is 14 ft

Step-by-step explanation:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

$L = W + 4\qquad\qquad [1]$

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

$L + W = 32\qquad\qquad [2]$

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft