Equations and Inequalities

Question

Brad is fencing a rectangular area in the backyard for his dog. He has 25 feet of fence. He does not need fencing on the side that runs along the garage. This side is 9ft long. What are the dimensions of the kennel?

Answer 1

Perimeter = 2 x length + 2 x width

 

BUT one of the length is not needed as it is the side of the garage.

 

So the formula in THIS PROBLEM is 

   Perimeter = length + 2 x width

 

  25 =  9 + 2 x width

  16 = 2 x width <---- subtracts 9 from both sides

 

  width = 16/2 = 8

 

Rectangle 9 x 8, specifically, 9 + 8 + 8 = 25

Answer 2

One side of Rectangular Kennel is 9 ft. Let other side be x ft.

 

Perimeter of a rectangle is 2 * (l + b)

 

In this question, we are not covering one side of Kennel, hence, 

 

2*x + 9 = 25

 

i.e., 2*x +9 - 9 = 25 - 9

i.e., 2*x = 16

i.e., x = 16/2 = 8

 

Hence, dimensions of Kennel are 8 ft and 9 ft