1. The length of a rectangle is 20 m and its breadth is 15 m. If the length is increased to 30 m, what will be the breadth (in m) of the rectangle given that the area remains the same?   Hint Hint       2. The length of a rectangular hall is 10 m more than its breadth. The area of the hall is 875 m2. Find its length (in m).   Hint       3. A rectangular carpet has an area of 48 m2 and a perimeter of 28 m. Find the length of its diagonal (in m).   Hint       4. The difference between the length and the breadth of a rectangle is 25 m. If its perimeter is 210 m, find its area (in m2).   Hint       5. Find the area (in m2) of a swimming pool in the shape of a rectangle whose one side measures 15 m and the length of whose diagonal is 25 m.   Hint       6. A rectangle of area 180 m2 and perimeter 56 m has its length equal to x m. Find its length (in m).   Hint       7. The length of the diagonal of a square is 24 cm. Find its area (in cm2).   Hint