Answer :
Perimeter = 2L + 2w = 120
Plug in L = 40
2(40) + 2w = 120
Solve for w
2w = 120 - 80 = 40
w = 20
Plug in L = 40
2(40) + 2w = 120
Solve for w
2w = 120 - 80 = 40
w = 20
Final answer:
To find the width of a rectangular garden with a total perimeter of 120 feet and a known length of 40 feet, use the perimeter formula. Solving the equation, the width is determined to be 20 feet.
Explanation:
To find the width of a rectangular garden when you know the total fencing needed and the length of the garden, you can use the perimeter formula for a rectangle. The formula for the perimeter P of a rectangle is P = 2l + 2w, where l is the length and w is the width. In your case, the total perimeter is 120 feet and the length l is 40 feet. Setting up the equation using the given perimeter:
120 = 2(40) + 2w
Solving for w, the width:
120 = 80 + 2w
120 - 80 = 2w
40 = 2w
w = 20 feet
So, the width of the garden is 20 feet.
