Find the area of the quadrilateral $PQRS$ as shown in the adjoining figure:

 

Show how we can use Fig. (1) to find the area of Fig.(2). Also find the perimeter of each figure.

In the adjoining figures, a rectangle and a square are given. Find the area of the shaded portions.

A farmer wants to fence his rectangular field measuring $14 \mathrm{m} \mathrm{by} 10 \mathrm{m}$, one of whose lengths is along the boundary wall of his house. The required length of the fence is:

A paper is in the form of a rectangle of dimension $21 \mathrm{cm} \mathrm{by} 15 \mathrm{cm}$. A semicircle along its length is cut off. The area of the remaining part is:

If semicircles are cut off from along each of the two breadths of a rectangle, then the perimeter of the remaining part is:

Two rectangular strips of metal each measuring $50 \mathrm{cm} \mathrm{by} 10 \mathrm{cm}$ are welded to form a  '+' symbol as shown. This logo is to be painted red on both sides. The surface area to be painted is: