Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touch them at the points P and Q respectively. Then the area of square with one side PQ, is:

The perimeter of a right-angled triangle is 60 cm, and its hypotenuse is 26 cm. Find its area? 

The width of the path around a square field is 4.5 m and its area is 105.75 m². Find the cost of fencing the path at the rate of ₹100 per metre.

The length of the diagonal and the breadth of a rectangle is 13 cm and 5 cm respectively. Calculate its area (in cm²).

The area of an isosceles trapezium is 176 m2 and the height is 2/11 of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4: 7. Then what is the measure of height of the isosceles trapezium-

The distance between the centers of two circles having radii 4.5 cm. and 3.5 cm. respectively is 10 cm. What is the length of the transverse common tangent of these circles?

If the right prism having trapezium base, whose parallel side are 13cm and 15cm respectively and the distance between them is 12cm. If the volume of the prism is 2150.4cm^z, then find the height of the prism.

A circular pavement was to be built around a square park of side 18 m. The maximum width of pavement is 5 m. Calculate the cost of cementing the pavement at Rs. 15 per m² .