Kim’s herb garden is 2 feet by 4 feet. He wants to double the length and the width of the garden.
How will the area of the herb garden change?
Area of rectangle = length * width
so original area = 2*4 = 8
new area = ....
What has happened to the new area?
No, you are doubling the length and width, so
width = 4
length = 8
area = 32
To find out how the area of the herb garden will change when Kim doubles both the length and the width, we can first calculate the current area of the herb garden and then calculate the new area after the dimensions are doubled.
The current area of the herb garden is calculated by multiplying the length and width:
Area = Length × Width
Given that the current length is 2 feet and the current width is 4 feet, we can substitute these values into the formula:
Area = 2 feet × 4 feet = 8 square feet
Now, let's calculate the new area after the dimensions are doubled.
To double the length and the width, we need to multiply each dimension by 2:
New Length = 2 × 2 feet = 4 feet
New Width = 2 × 4 feet = 8 feet
Then, we'll use the same formula to calculate the new area:
New Area = New Length × New Width
Substituting the values we calculated:
New Area = 4 feet × 8 feet = 32 square feet
Therefore, the area of the herb garden will change from 8 square feet to 32 square feet when Kim doubles both the length and the width.