Question

On a country plot, you want to build a rectangular asphalt parking lot of dimensions 20 meters by 10 meters. Due to budget reduction, each dimension of the parking will be reduced 2/5 of the original. By what percentage will the parking area be reduced?

a) 16%
b) 25%
c) 36%
d) 40%

Answer 1

To find the percentage reduction in the parking area, calculate the original area and the reduced area. Then, subtract the reduced area from the original area and divide by the original area. Finally, convert the decimal to a percentage.

Step-by-step explanation:

To find the percentage reduction in the parking area, we need to calculate the original area and the reduced area.

The original area of the parking lot is 20m * 10m = 200m².

The reduced dimensions of the parking lot are (20m * 2/5) * (10m * 2/5) = 8m * 4m = 32m².

To find the percentage reduction, we subtract the reduced area from the original area and divide by the original area:

(200m² - 32m²) / 200m² = 168m² / 200m² = 0.84

Finally, we convert the decimal to a percentage by multiplying by 100:

0.84 * 100 = 84%

Therefore, the parking area will be reduced by 84%.