The length of a rectangle is 1 cm more than the width. If the perimeter of the rectangle is 6 cm, what are the dimensions of the rectangle?
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The length of a rectangle is 1 cm more than the width. If the perimeter of the rectangle is 6 cm, what are the dimensions of the rectangle?
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Question:
The length of a rectangle is 1 cm more than the width. If the perimeter of the rectangle is 6 cm, what are the dimensions of the rectangle?
Solution:
L = 1 + W → equation 1
P = 6
P = 2L + 2W
6 = 2(1+W) + 2W
6 = 2 + 2W + 2W
4W = 6-2
4W = 4
W = 1
From equation 1
L = 1 + W
L = 1 + 1
L = 2
To check the answer:
P = 2L + 2W
6 = 2(2) + 2(1)
6 = 4 + 2
6 = 6 → dimensions are correct.
Answer:
The dimensions of the rectangle L = 2 and W = 1
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