Question

Reduce the scale of Tomas's front yard so tha it has a scale of 1 box=10 feet. Scale showing is 8 squares across and 6 squares up for width. It scaled now as 1 box=5 feet.
Scale drawings to choose from
1. 16 squares across and 12 squares up as width
2. 4 squares across and 3 squares up
3. 6 squares across and 3 squares up
4. 3 squares across and 2 squares up

Answer 1

To adjust Tomas's front yard to a new scale of 1 box = 10 feet from the original scale of 1 box = 5 feet, we first need to convert the dimensions of the yard.

The original dimensions are:
- Width: 8 squares
- Height: 6 squares

Given the original scale (1 box = 5 feet):
- Width in feet = 8 squares * 5 feet/square = 40 feet
- Height in feet = 6 squares * 5 feet/square = 30 feet

Next, we calculate the new dimensions using the new scale (1 box = 10 feet):
- Width in boxes = 40 feet / 10 feet/box = 4 boxes
- Height in boxes = 30 feet / 10 feet/box = 3 boxes

Now that we have the new dimensions (4 boxes across and 3 boxes up), we can compare these dimensions to the scale drawings provided:

1. 16 squares across and 12 squares up
2. 4 squares across and 3 squares up (This matches our new dimensions)
3. 6 squares across and 3 squares up
4. 3 squares across and 2 squares up

From this comparison, the correct scale drawing that represents Tomas's front yard at the new scale of 1 box = 10 feet is **option 2: 4 squares across and 3 squares up**.