Chris has a square garden with an area of 38.4m^2. He decreases the length of each side by 1.7m to make a smaller garden. What is the closet to the perimeter of the smaller garden?
side of original square = appr 6.197
perimeter is 4 times that
new side = 4.497
new perimeter is 4 times that
I don't know what a closet is doing in your garden, but ....
To find the perimeter of the smaller garden, we need to calculate the length of each side of the square.
Let's assume the length of each side of the larger garden is "x" meters. The area of the large garden is given as 38.4m^2.
The area of a square garden is given by the formula: area = (side length)^2.
So, we can write the equation as:
x^2 = 38.4
To find the length of each side of the smaller garden, we subtract 1.7m from the length of each side of the larger garden.
So, the side length of the smaller garden is (x - 1.7) meters.
To find the perimeter of the smaller garden, we multiply the length of each side by 4 (since all sides are equal in a square).
So, the perimeter of the smaller garden is:
Perimeter of smaller garden = 4 * (x - 1.7)
Now, we need to find the value of x. We can do this by solving the equation for x:
x^2 = 38.4
Taking the square root of both sides, we get:
x = √38.4
Calculating the value of x:
x ≈ 6.2 (rounded to one decimal place)
Now, substitute the value of x into the formula for the perimeter of the smaller garden:
Perimeter of smaller garden = 4 * (6.2 - 1.7)
Perimeter of smaller garden ≈ 4 * 4.5
Perimeter of smaller garden ≈ 18 meters
Therefore, the approximate closest perimeter of the smaller garden is 18 meters.
To find the closest perimeter of the smaller garden, we first need to calculate the length of each side of the smaller garden.
The area of a square garden is given by the formula: Area = side^2
Given that the area of Chris's garden is 38.4m^2, we can set up the equation:
38.4 = side^2
To find the length of each side, we take the square root of both sides of the equation:
√(38.4) = √(side^2)
Taking the square root of 38.4 gives us approximately 6.2. However, since the length of each side cannot be negative, we take the positive value:
side = 6.2m
To calculate the length of each side of the smaller garden, we subtract 1.7m from the original length:
smaller side = 6.2m - 1.7m = 4.5m
Since the smaller garden is also square, all four sides will have the same length. Thus, the closest perimeter of the smaller garden is:
Perimeter = 4 * smaller side
Perimeter = 4 * 4.5m
Perimeter = 18m
Therefore, the closest perimeter to the smaller garden is 18 meters.