Proportions & Scale Factors Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 3 inches
Convert this scale drawing of a bureau drawer with a scale of 1 box = 6 inches. The length in the scale drawing shown is 8 boxes. What will be the length of the boxes of the new scale drawing?
In the current scale drawing, 1 box represents 3 inches.
To find the length of 1 box in the new scale drawing of 1 box = 6 inches, we can set up a proportion:
1 box (current scale drawing) / 3 inches = x boxes (new scale drawing) / 6 inches
Cross-multiplying, we get:
3 inches * x boxes = 1 box * 6 inches
3x inches * boxes = 6 inches
Now, we can divide both sides of the equation by 3 inches to solve for x:
x boxes = 6 inches / 3 inches
x boxes = 2 boxes
Therefore, the length of 1 box in the new scale drawing will be 2 boxes.