Question

NEED HELP!!!!!!!!

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 will 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?
22 feet
68 feet
76 feet
82 feet

Answer 1

b

Explanation:

68

Answer 2

68 feet

Explanation:

30 x (30-x) = 240

30-x = 8

-x = -22

x = 22

Therefore width is 30-22 = 8 feet

8+8+30+30 = 76 total for all 4 sides.

George would need 76 feet of fencing for the dog run IF he was not using his house as one side of the run. Therefore, taking the 76 total feet that would be required to go around all 4 sides and subtracting the feet of one width (8 feet), gives a total of 68 feet.