Noah is designing a miniature courtyard that must fit  within a large square boundary  with sides measuring 17 cm. Inside this space, there is a large square platform with sides measuring 12 cm and a smaller square platform placed at the diagonally opposite corner. To create a clean and visually balanced layout, Noah removes both platforms and combines their areas to form one large square lawn at the centre, which will serve as the main seating space. 

After placing the central lawn, some space remains at the four corners of the boundary.  Rather than leaving it unused, Noah divides the remaining area into four identical right-angled triangular sections for decorative plants, ensuring that the courtyard looks symmetrical and elegant. 

Questions: 

 What is the area of the new central square, and what is the area of one triangular section? 

Noah is designing a miniature courtyard that must fit  within a large square boundary with sides measuring 17 cm. Inside this area, there is a large square platform  with sides measuring 12 cm and a smaller square platform placed at the diagonally opposite corner. Noah feels that two separate platforms make the design look uneven. To create a neat and attractive focal point, he decides to remove both platforms and combine their areas to form one large square grass section at the centre, where people can sit and relax. 

Question: 
What is the area of the new combined central square? 

Scenario 

During aircraft landing, wing flaps are deployed to change the aerofoil shape of the wing. This increases the lifting force at lower speeds and helps the aircraft land safely.