Final answer:
To find the value of x for the perimeter of the rectangle, we used the perimeter formula P = 2(length + width), substituted in the given expressions for length and width, and solved for x to get x = 15 meters.
Step-by-step explanation:
The student's question involves finding the value of the variable x for the perimeter of a rectangular plot of land with given length and width expressions. The formula for calculating the perimeter P of a rectangle is P = 2(length + width). Given the length is (2x + 5) meters and the width is (x - 10) meters, and the perimeter P is 80 meters, we can set up an equation as follows:
Write down the formula for the perimeter of a rectangle: P = 2(l + w).
Substitute the given expressions into the formula: 80 = 2((2x + 5) + (x - 10)).
Simplify and solve for x.
80 = 2(3x - 5)
80 = 6x - 10
90 = 6x
x = 15
Thus, the value of x is 15 meters.