A rectangular garden is 8 meters long and 5 meters wide. If the garden's perimeter is equal to its area plus 6 meters, what is the area of the garden?
Accepted Solution
A:
Let's solve the problem step by step.
Let's assume the length of the rectangular garden is L meters and the width is W meters.
Given:
Length (L) = 8 meters
Width (W) = 5 meters
The perimeter of a rectangle is given by the formula:
Perimeter = 2(L + W)
So, the perimeter of the garden is:
Perimeter = 2(8 + 5) = 2(13) = 26 meters
The area of a rectangle is given by the formula:
Area = Length Γ Width
So, the area of the garden is:
Area = 8 Γ 5 = 40 square meters
According to the problem, the perimeter is equal to the area plus 6 meters:
Perimeter = Area + 6
Substituting the values:
26 = 40 + 6
Simplifying the equation:
26 = 46
This is not a valid equation. Therefore, there seems to be an error in the problem statement or the given information. Please double-check the problem statement or provide any additional information if available.