A rectangular land plot is shown on the plan at a scale of 1: 400. What is the area of the land

A rectangular land plot is shown on the plan at a scale of 1: 400. What is the area of the land plot if the area of its image on the plan is 16 cm2?

On the plan with a scale of 1: 400, the image on the plan is 400 times smaller than the actual image on the ground.

In this case, each side of the plot on the plan will actually be 400 times larger, which for the entire area will be:

400 * 400 = 160,000 times.

We find the real area of the site.

We multiply the resulting difference by the area of the plot on the plan.

We get:

16 * 160000 = 2560000 cm ^ 2.

We translate this scale from cm ^ 2 to m ^ 2.

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

2560000/10000 = 256 m ^ 2.

Answer:

The area of the plot is 256 m ^ 2.