A grid is 8 inches long and 4 inches wide. The scale is 1 box= 5 meters.
Reproduce the scale drawing of a playground so that it has a scale of 1 box=20 meters. Which drawing shows the new scale?
A. 6 inches long and 3 inches wide
B. 16 inches long and 8 inches wide
C. 3 inches long and 2 inches wide
D. 2 inches long and 1 inches wide
You want to change the scale of the grid from 1 box representing 5 meters to 1 box representing 20 meters. This means that each box on the new grid will represent 4 times as much area as the original grid.
If you multiply the original size of the grid (8 inches by 4 inches) by the same factor (1/4th because 20 meters is 4 times larger than 5 meters, hence each box will represent 4 times more on each dimension), the scale of the grid will change accordingly.
Calculate the new dimensions:
8 inches * (1/4) = 2 inches long
4 inches * (1/4) = 1 inch wide
So, the new drawing size that reflects the scale of 1 box = 20 meters should be 2 inches long and 1 inch wide.
The correct answer is D. 2 inches long and 1 inch wide.