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

the barter

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11