The perimeter of a rectangular plot is 72 meters. Calculate the area of the site if the length of the site is 5 times its width.

Let’s denote by x meters the width of the rectangular area. Therefore, the length of the section will be (5 * x) meters.

The perimeter of a rectangle is calculated by adding the lengths of all its sides. The area of a rectangle is found as the product of length and width. We can make and solve the following equation:

2 * (x + 5 * x) = 72,

12 * x = 72,

x = 72: 12 = 6 meters – the width of the rectangle,

6 * 5 = 30 meters – the length of the rectangle.

Let’s find the area of this site:

S = 6 * 30 = 180 m2.

Answer: the area of a rectangular plot is 180 m2.



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