The perimeter of a rectangular plot is 240 m, the length is equal to twice the width.
The perimeter of a rectangular plot is 240 m, the length is equal to twice the width. Outside the plot trees were planted with a distance of 5 m. How many trees were planted?
In order to find the sides of a rectangle, we express its width in terms of x, then the length will look like: 2x.
Formula for the perimeter of a rectangle:
Р = (a + b) * 2, where a and b are the length and width of the rectangle.
We substitute the resulting sides into this formula:
240 = (2x + x) * 2;
Next, we solve the resulting equation:
3x = 240: 2;
3x = 120;
x = 120: 3;
x = 40 m – section width;
2x = 2 * 40 = 80 m – section length.
Next, we calculate the number of trees planted across the width of the site:
40: 5 = 8 trees – planted across the width of the plot.
Now let’s calculate the number of trees planted along the length of the site:
80: 5 = 16 trees – planted along the length of the plot.
The last is to calculate the total number of trees planted:
8 * 2 + 16 * 2 = 16 + 32 = 48 trees – planted around the site.
Answer: 48 trees were planted around the site.