Q.4.2 In a plot of 8000 square meters, only 4500 square meters are allowed for construction. What percent of the plot is to be left without construction?

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1. Let the total plot area be $$ A_{\text{total}} = 8000 $$ m$$^2$$ and the area allowed for construction be $$ A_{\text{construction}} = 4500 $$ m$$^2$$.

2. Calculate the area left without construction:
   $$
   A_{\text{no construction}} = A_{\text{total}} - A_{\text{construction}} = 8000 - 4500 = 3500 \text{ m}^2
   $$

3. Find the percentage of the plot left without construction:
   $$
   \text{Percent} = \left( \frac{A_{\text{no construction}}}{A_{\text{total}}} \right) \times 100 = \left( \frac{3500}{8000} \right) \times 100
   $$

4. Simplify the fraction:
   $$
   \frac{3500}{8000} = 0.4375
   $$

5. Multiply by 100 to convert to a percentage:
   $$
   0.4375 \times 100 = 43.75\%
   $$

Thus, the percent of the plot to be left without construction is $$ 43.75\% $$.
43.75% of the plot is to be left without construction.

Q.4.2 In a plot of 8000 square meters, only 4500 square meters are allowed for construction. What percent of the plot is to be left without construction?

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