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The length of a rectangle is 3 times its width. If the perimeter of the rectangle is 11 cm, find its width.
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Answered by
GPT 3.5
Let's assume that the width of the rectangle is "w" cm.
If the length is 3 times the width, then the length would be 3w cm.
The perimeter of a rectangle can be found by adding all its sides, so:
Perimeter = 2(length + width)
So, in this case, the perimeter would be: 11 = 2(3w + w)
Now, let's solve for 'w':
11 = 2(4w)
Divide each side by 2:
11/2 = 4w/2
5.5 = 2w
Divide each side by 2:
5.5/2 = w
w = <<5.5/2=2.75>>2.75 cm. Answer: \boxed{2.75}.
If the length is 3 times the width, then the length would be 3w cm.
The perimeter of a rectangle can be found by adding all its sides, so:
Perimeter = 2(length + width)
So, in this case, the perimeter would be: 11 = 2(3w + w)
Now, let's solve for 'w':
11 = 2(4w)
Divide each side by 2:
11/2 = 4w/2
5.5 = 2w
Divide each side by 2:
5.5/2 = w
w = <<5.5/2=2.75>>2.75 cm. Answer: \boxed{2.75}.
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