your garden yard is 50ft wide and perimeter is 500 square.you have 88 feet of garden fencing your garden have a perimeter of 88 feet. suppose u made your garden 5 feet wide, what would it is length and area, area of the left over space in the yard.
To solve this problem, let's first find the dimensions of the garden with a width of 5 feet.
Given:
- Width of the garden = 5 feet
- Perimeter of the garden = 88 feet
- Garden fencing available = 88 feet
Formula for the perimeter of a rectangle:
Perimeter = 2 × (Length + Width)
From the given information, we can write the equation:
88 = 2 × (Length + 5)
Now, let's solve for the Length:
88 = 2 × (Length + 5)
44 = Length + 5
Length = 44 - 5
Length = 39 feet
So, when the width is 5 feet, the length of the garden would be 39 feet.
Next, let's calculate the area of the garden:
Area = Length × Width
Area = 39 feet × 5 feet
Area = 195 square feet
Therefore, when the width is 5 feet, the length is 39 feet, and the area of the garden would be 195 square feet.
Now, let's find the remaining area in the yard. The yard's area is the total area minus the garden's area.
Given:
Width of the yard = 50 feet
Area of the left-over space = Area of the yard - Area of the garden
Area of the left-over space = 50 feet × 50 feet - 195 square feet
Area of the left-over space = 2500 square feet - 195 square feet
Area of the left-over space = 2305 square feet
Therefore, the area of the left-over space in the yard would be 2305 square feet.