George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a triangle. The length of the longest side of the garden will be 600 centimeters, and the length of the shortest side of the garden will be 400 centimeters. If the length of the garden's longest side on the blueprint is 15 centimeters, which equation can be used to find the length of the shortest side on the blueprint?

The length of the shortest side on the blueprint is 10 centimeters.

Step-by-step explanation:

Given:

George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a triangle. The length of the longest side of the garden will be 600 centimeters, and the length of the shortest side of the garden will be 400 centimeters. If the length of the garden's longest side on the blueprint is 15 centimeters.

Now, to find the length of the shortest side on the blueprint by using an equation.

Let the length of the shortest side on the blueprint be

The length of the garden's longest side on the blueprint = 15 centimeters.

The length of the longest side of the garden = 600 centimeters.

The length of the shortest side of the garden = 400 centimeters.

If, 600 centimeters is equivalent to 400 centimeters.

So, 15 centimeters is equivalent to .

Now, to set an equation that can be used to get the length of the shortest side on the blueprint through cross multiplication method:

By cross multiplying we get:

Dividing both sides by 600 we get:

Therefore, the length of the shortest side on the blueprint is 10 centimeters.