\begin{tabular}{l} B. In order to get more light into a \ room, Mr. Lumen replaced a 3 by 4 ft \ window with a 5 by 6 ft window. \ What was the percent of increase in \ the area of glass? \ \hline\end{tabular}

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To find the percent of increase in the area of glass, we first need to calculate the area of the original window and the new window.

Given:
- Original window dimensions: 3 ft by 4 ft
- New window dimensions: 5 ft by 6 ft

1. Calculate the area of the original window:
$$ \text{Area of original window} = \text{Length} \times \text{Width} = 3 \times 4 = 12 \, \text{ft}^2 $$

2. Calculate the area of the new window:
$$ \text{Area of new window} = \text{Length} \times \text{Width} = 5 \times 6 = 30 \, \text{ft}^2 $$

3. Calculate the percent of increase in the area of glass:
$$ \text{Percent of increase} = \left( \frac{\text{Area of new window} - \text{Area of original window}}{\text{Area of original window}} \right) \times 100\% $$

Now, let's calculate the percent of increase in the area of glass.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(30-12\right)}{12}\times 100$$
- step1: Remove the parentheses:
  $$\frac{30-12}{12}\times 100$$
- step2: Subtract the numbers:
  $$\frac{18}{12}\times 100$$
- step3: Reduce the fraction:
  $$\frac{3}{2}\times 100$$
- step4: Reduce the numbers:
  $$3\times 50$$
- step5: Multiply the numbers:
  $$150$$
The area of the original window is 12 square feet, and the new window has an area of 30 square feet. The percent increase in the area of glass is calculated as: $$ \text{Percent Increase} = \left( \frac{30 - 12}{12} \right) \times 100\% = \left( \frac{18}{12} \right) \times 100\% = 1.5 \times 100\% = 150\% $$ So, the area of glass increased by 150%.

\begin{tabular}{l} B. In order to get more light into a \\ room, Mr. Lumen replaced a 3 by 4 ft \\ window with a 5 by 6 ft window. \\ What was the percent of increase in \\ the area of glass? \\ \hline\end{tabular}

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