Un jardín rectangular de 50 cm de largo por 34 m de ancho está rodeado por un camino de arena uniforme. Halla la anchura de dicho camino si se sabe que su área es de 540m2

5.85 m

Step-by-step explanation:

The width of the sand road can be calculated knowing its area and the dimensions of the rectangular garden as follows:

Where:

Ag: is the area of the rectangular garden

a: is the length of the rectangular garden = 50 cm = 0.5 m

b: is the width of the rectangular garden = 34 m

Where:

As: is the area of the sand road

The relation between the area of the sand road and the area of the rectangular garden is the following:

By solving the above equation for x we have two solutions:

x₁ = -23.10 m

x₂ = 5.85 m

Taking the positive value, we have that the width of the sand road is 5.85 m.

I hope it helps you!