The dimensions of the work area are L = 28 ft and W = 15 ft.
To find the dimensions of the rectangular work area, we need to find the length and width of the rectangle.
Let's assume the length of the rectangle is L and the width is W.
The perimeter of a rectangle is given by the formula P = 2L + 2W.
We know that the perimeter of the work area is 88 ft, so we can write the equation as 2L + 2W = 88.
The area of a rectangle is given by the formula A = L * W.
We know that the area of the work area is 420 ft², so we can write the equation as L * W = 420.
Now we have a system of two equations:
2L + 2W = 88
L * W = 420
Using substitution or elimination method, we can solve this system of equations to find the values of L and W.
The dimensions of the work area are L = 28 ft and W = 15 ft.
The probable question may be:
A dog trainer has 88 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 420 ft2, what will be the dimensions of the work area?