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The length of a rectangle is 6 meters more than twice the width. the perimeter is 72 square meters. Find the length and width

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Explanation:

Let's denote the width of the rectangle as "w" meters.

According to the given information, the length of the rectangle is 6 meters more than twice the width. Therefore, the length can be expressed as 2w + 6 meters.

The formula for the perimeter of a rectangle is P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

We are given that the perimeter is 72 meters, so we can write the equation as:

72 = 2((2w + 6) + w)

Simplifying the equation:

72 = 2(3w + 6)

72 = 6w + 12

6w = 72 - 12

6w = 60

w = 60 / 6

w = 10

Therefore, the width of the rectangle is 10 meters.

To find the length, we can substitute the value of w into the expression for the length:

l = 2w + 6

l = 2(10) + 6

l = 20 + 6

l = 26

Hence, the length of the rectangle is 26 meters.

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