The rectangular plot of land is shown on the plan at a scale of 1: 200. What is the area of the land plot

The rectangular plot of land is shown on the plan at a scale of 1: 200. What is the area of the land plot if the area of its image on the plan is 12 cm2?

Since the scale of the plan is 1: 200, each side of the plot is 200 times larger than on the plan.

In this case, the difference between the area on the plan and on the ground will be:

200 * 200 = 40,000 times.

We find the area of the site on the ground.

To do this, we multiply the area of the plot on the plan by the resulting difference.

12 * 40,000 = 480,000 cm ^ 2.

We translate the area of the site from cm ^ 2 to m ^ 2.

Since in 1 m ^ 2 – 10000 cm ^ 2, we get:

480,000 / 10,000 = 48 m ^ 2.

Answer: The area of the land plot on the ground is 48 m ^ 2.