Scale:1 box= 15 feet convert this scale drawing so that it has a scale of 1 box= 5 feet. The width in the scale drawing shown in 2 boxes what will be the width in boxes of the new scale drawing?

Answer 1

To convert the scale drawing from 1 box = 15 feet to 1 box = 5 feet, we need to determine how the width in boxes will change with the new scale.

Given:

• Original scale: 1 box = 15 feet
• New scale: 1 box = 5 feet
• Width in the original scale drawing: 2 boxes

First, we need to calculate the total width in feet using the original scale:

\[ \text{Width in feet} = \text{Width in boxes} \times \text{Feet per box (original scale)} = 2 \text{ boxes} \times 15 \text{ feet/box} = 30 \text{ feet} \]

Next, we will convert this width into boxes using the new scale:

\[ \text{Width in boxes (new scale)} = \frac{\text{Width in feet}}{\text{Feet per box (new scale)}} = \frac{30 \text{ feet}}{5 \text{ feet/box}} = 6 \text{ boxes} \]

Therefore, the width in boxes of the new scale drawing will be 6 boxes.