Question 1035902: The length of the triangle 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.
Half the perimeter of a rectangle is 51 cm. If the difference between the length and the width is 13 cm then find the area of the rectangle.
Thank you so much for the help. This will help me in my assignment.
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
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.
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