Betty wishes to bulid a rectangular dog runalong the side of her garage. The garagewill be on of the longer sides of the run. If she has 50 feet of fenccing and wishes the run to be 3 times longer than i is wide, how many square feet will the fencing enclose?

a. 80 sq. ft
b.117 1/8 sq. ft
c. 250 sq. ft
d. 300 sq. ft
e. 468 3/4 sq. ft
please help me....

idk theanswer help

To find the square footage enclosed by the fencing, we first need to determine the dimensions of the dog run. Let's break down the problem step by step:

1. Let's assume the width of the dog run is "w" feet.

2. According to the given information, the length of the dog run will be 3 times the width. So the length is 3w feet.

3. The dog run is in the shape of a rectangle, with the garage being one of the longer sides. This means that the width is one of the shorter sides, and the length is one of the longer sides.

4. To find the perimeter of the dog run, we add up the lengths of all four sides: Width + Length + Width + Length
Perimeter = w + 3w + w + 3w = 8w

5. According to the problem statement, Betty has only 50 feet of fencing. Therefore, the perimeter of the dog run must be equal to 50 feet:
8w = 50

6. Solve for 'w' by dividing both sides of the equation by 8:
w = 50 / 8
w = 6.25 feet

Now that we have found the width of the dog run, we can calculate the length by multiplying it by 3:
Length = 3w = 3 * 6.25 = 18.75 feet

To find the area enclosed by the fencing, we multiply the width by the length:
Area = Width * Length = 6.25 * 18.75 = 117.1875 square feet

Since we need to choose from the given options, we can approximate the answer to the nearest fraction that corresponds to one of the options. The closest option is (b) 117 1/8 square feet.

So, the answer is b. 117 1/8 sq. ft.