Final answer:
To find the scale used by Francesca for her drawing, we convert the drawing length to meters and divide it by the actual length. Francesca used a scale of 1:500.
Step-by-step explanation:
To determine the scale Francesca used for her drawing of the school yard, we need to compare the real length of the school yard with the length in the drawing. The actual school yard is 144 meters long and in the drawing, it is represented as 288 millimeters long. First, we need to convert the length from millimeters to meters by dividing by 1000, which gives us 0.288 meters. Then, we can find the scale by dividing the drawing length by the actual length:
Scale = Drawing Length / Actual Length
Scale = 0.288 meters / 144 meters = 1 / 500
Therefore, the scale Francesca used for the drawing is 1:500.