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The length of the rectangle is 1 cm more than the width. If the perimeter of the rectangle is 6 cm, then what are the dimensions of the rectangle.
The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find its dimensions.
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1. The length of the rectangle is 1 cm more than the width.
If the perimeter of the rectangle is 6 cm, then what are the dimensions of the rectangle.
Let L be the rectangle length ans W be the rectangle width. Then
L - W = 1, (1) ( "The length of the rectangle is 1 cm more than the width" )
L + W = 3. (2) ( 3 is half of 6, half of the perimeter. Do you understand why this equation (2) is true? It is the key! )
Now, to solve the system (1), (2), add the equations (1) and (2). You will get
2L = 1 + 3 = 4, hence, L = = 2. So, you just found the length L.
Next, find W from equation (2): W = 3 - L = 3 - 2 = 1.
The problem is solved.
Answer. L = 2, W = 1.