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

June 29, 2021 | education

| **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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