anthony wants to make two gardens, each with an area of 24 square feet. He will buy boards to go around each garden. the garden has side lengths that are whole numbers. draw two of the possible gardens. which garden will use boards
8x3=24 6x4=24
Well, y guess is 4X6 1X24 and 2X12
To determine which garden will use more boards, we need to find the dimensions of each possible garden and calculate the perimeter of each.
Let's start by finding the dimensions of a garden with an area of 24 square feet. The area of a rectangle can be found by multiplying its length and width. In this case, we have two whole number side lengths. Let's look at all the factor pairs of 24:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
Now, let's draw two of the possible gardens based on these factor pairs:
Garden 1:
Length = 6 feet
Width = 4 feet
Garden 2:
Length = 8 feet
Width = 3 feet
Next, let's calculate the perimeter of each garden. The perimeter of a rectangle can be found by adding the lengths of all its sides. For both gardens, since they are rectangles, we calculate the perimeter using the formula: Perimeter = 2 * (length + width).
For Garden 1:
Perimeter = 2 * (6 + 4) = 20 feet
For Garden 2:
Perimeter = 2 * (8 + 3) = 22 feet
Therefore, Garden 1 will use fewer boards because its perimeter is 20 feet compared to Garden 2, which has a perimeter of 22 feet.
well, the factors of 24 are
1,24
2,12
3,8
4,6
so pick something and figure the perimeters.