The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

A The cost of building a fence around a circular field is ₹7,425 at the rate of 13.50 per foot. What is the area of the circular field? [use $$π={22\over 7}$$]

A circular grass field of diameter 42 m is surrounded by a path of width 3.5 m. What will be the cost of graveling the path at the rate ₹ 4 square meter?

The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm³) is:

In a ∆ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ=PQ and QC=QR. If ∠BAC = 75⁰, what is the measure of ∠PQR (in degress)?

The sum of length, breadth and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of cuboid.

The curved surface area of a right cylinder is 3696 cm². Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take π =22/7)

What is the height of a solid right circular cylinder whose radius is 3 cm and total surface area is 60 πcm² ?