Adog trainer has 96 ft of fencing that will be used to create a rectangular work area. encloses area of 320 ft^2. what will be the dimensions of the area

The dimensions of the area will be 8 ft x 40 ft

Step-by-step explanation:

Area and Perimeter

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

The dog trainer has 96 ft of fencing to cover a rectangular area. This means that

A system of equations is formed

We divide the last equation by 2

solve for w

Replacing in the first equation

Operating and arranging

We have two possible answers

Which gives us

In any case, the dimensions of the area will be 8 ft x 40 ft

a

explanation:

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: