Mr. jones garden has an area of 22 square meters. He wants to increase its size by 1/2. Draw a picture to show what his new garden might look like. Give the new area and dimensions and can you please show your reasoning.
The new garden would look like this:
Area = 22 + (22/2) = 33 square meters
Dimensions = 6m x 5.5m
Reasoning:
To increase the area of the garden by 1/2, we need to add half of the original area (22/2) to the original area (22). This gives us a total area of 33 square meters.
To find the new dimensions, we need to divide the area by the width of the original garden (22/6 = 3.67). This gives us a width of 5.5 meters. To find the length, we multiply the width by the area (5.5 x 6 = 33). This gives us a length of 6 meters.
How do we draw that's the issue i am having
just take the existing drawing, and increase its length or width by 1/2.
I assume you can use a ruler to do the measuring.
To find the new area of Mr. Jones' garden after increasing its size by 1/2, we need to multiply the original area by 1 + 1/2.
Original area: 22 square meters
New area = Original area * (1 + 1/2)
New area = 22 * (1 + 1/2)
= 22 * (3/2)
= 33 square meters
To find the new dimensions of the garden, we can use the fact that the area of a rectangle is equal to its length multiplied by its width. We'll assume the garden is rectangular in shape.
Let's represent the original garden as a rectangle with length (L) and width (W).
Area of the original garden = L * W = 22
To increase the size of the garden by 1/2, we can multiply both the length and width by √(1 + 1/2), since the area is directly proportional to the product of length and width.
New length = L * √(1 + 1/2)
New width = W * √(1 + 1/2)
Substituting the values:
New length = L * √(3/2)
New width = W * √(3/2)
So, by multiplying the original dimensions of the garden by √(3/2), we can get the new dimensions of the garden. However, since we don't know the actual values of L and W, we can't provide the exact new dimensions or draw an accurate picture.