Q:

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.