You have 96 feet of fencing to enclose a rectangular pen for your dog. the pen should be three times long as it is wide. write and solve and equation find the dimensions of the pen.

length = 36 ft; width = 12 ft

Step-by-step explanation:

Let the width be x.

The length is 3x.

The perimeter is the sum of two lengths and two widths, and it equals 96 ft.

3x + 3x + x + x = 96

8x = 96

x = 12

Width = x = 12 ft

Length = 3x = 3(12 ft) = 36 ft

 Required equation :

Dimensions of the pen:

Width = 12 feet and Length =36 feet.

Step-by-step explanation:

Let w be the width of rectangular pen, then the length of the rectangular pen will be 3w.

We know that the perimeter of rectangle is given by "2length+2width".

Perimeter of rectangular pen = 2(3w)+2(w) =6w+2w=8w       (1)

Given : You have 96 feet of fencing to enclose a rectangular pen for your dog.

i.e. Perimeter of rectangular pen  = 96 feet               (2)

From (1) and (2), we get

[Divide both sides by 8]

Thus, width = 12 feet and length = 3(12)=36 feet.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)