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?

Question

UpStudy AI · Accepted Answer

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?

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Pre Algebra Questions