Problem of the Week Problem B Seeking Parts Unknown...

Sylvana and Roberto divide a $$40$$ m by $$75$$ m rectangular lot to form two yards, as shown in the diagram below.

The area of Roberto’s yard is $$40\%$$ of the total area of the two properties.

1. What are the values of $$x$$ and $$y$$, the missing dimensions of Roberto’s yard?

2. What is the area of each yard?

Themes: Algebra, Geometry & Measurement