# The length and width of the rectangle together are 20cm. What is the length and width

The length and width of the rectangle together are 20cm. What is the length and width of the rectangle if the length is 6 times wider.

1. Suppose the width of the given rectangle is x cm.

2. Since, according to the condition of the problem, its length is 6 times greater, then its length will be equal to (6 * x) = 6x cm.

3. Let’s make an equation and find out what the width of a given rectangle is equal to, if it is known that the lengths and widths taken together are equal to 20 cm.

x + 6x = 20;

7x = 20;

x = 20/7;

x = 2 6/7 cm.

4. Find out what the length of the given rectangle is.

2 6/7 * 6 = 20/7 * 6 = 120/7 = 17 1/7 cm.

Answer: The width of the rectangle is 2 6/7 cm, the length is 17 1/7 cm.

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