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algol13
2 years ago
13

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run w

ill be 240 square feet. The length of the run is 30 feet, and the width is 30 - x feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
]How many feet of fencing will George need for the dog run?
Mathematics
2 answers:
kondaur [170]2 years ago
7 0
30 x (30-x) = 240
30-x = 8
-x = -22
x = 22

Therefore width is 30-22 = 8 feet

8+8+30+30 = 76

Thus, George would need 76 feet of fencing for the dog run
d1i1m1o1n [39]2 years ago
4 0

Answer: 76 feet of fencing will George need for the dog run.

Step-by-step explanation:

Area of rectangular dog run = 240 square feet

Length of the rectangle dog run : 30 feet

Width of the rectangular dog run : 30 -x feet

Area of rectangle = length × width

240 squared feet = 30 feet × (30 - x) feet

x = 22

The width of the rectangular dog run = 30 -x feet = 30 - 22 feet = 8 feet

The perimeter of rectangle = 2(lenght + width)

Perimeter of rectangular dog run = 2(30 + 8) = 76 feet

76 feet of fencing will George need for the dog run.

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